Please help. I don’t understand the problem.

Please Help. I Dont Understand The Problem.

Answers

Answer 1

Answer:

ASA

Step-by-step explanation:

ASA stands for Angle-Side-Angle which is the congruency theorem that states that if a triangle shares two congruent angles that have one line in between the two angles share a side length congruent to each other, then the two triangles are congruent.

Before you get very confused on the difference between AAS (Angle-Angle-Side) and ASA (Angle-Side-Angle), let explain why these two triangles are ASA.

We are given that both triangles share a similar side length at KL where they are connected. We are also given that angle ∠JKL is congruent to angle ∠MKL. We are also given that angle ∠MLK is congruent to angle ∠JLK.

The most important part after deciding all the relationships is given to us, it is deciding what kind of congruence theorem we will use. We are given the options:

SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side) HL (Hypotenuse-Leg)

Because we are presented with two congruent angles and one congruent side, we know that this triangle congruency theorem is either ASA or AAS. To understand why these triangles are ASA, we have to look at where the two-given congruent sides are located. As we can see in the name and in our two triangles, the congruent side lengths are in between the two angles as it touches both angle ∠JKL and angle ∠JLK in triangle ΔJKL, while in on ΔMKL, the congruent side length is also found between angle ∠MLK and angle ∠MKL. So, these triangles share ASA because they share two congruent angles connected by one congruent line.

ORDER MATTERS WHEN YOU WRITE YOUR CONGRUENCY THEROMS

AAS is technically not the same as ASA and I will explain that in one moment.

An example of AAS is if instead being told that ∠JKL is congruent to angle ∠MKL, we are given that ∠KJL is congruent to angle ∠KML instead. now the congruent sides are not connected to angle ∠KJL or angle ∠KML. The side is no longer in-between the two congruent sides. The reason order matters here are because order matters between AAS and ASA because in another theorem, SAS, you will find out order matter because while SAS guaranties congruency SSA does not.  Technically, though, while both AAS and ASA both guaranty congruency, they are labeled separately, the way the remaining congruency thermos are.


Related Questions

Devon is saving to buy a telescope. If he saves 7$ a week for 14 weeks which equation can be used to fund the total cost

Answers

Answer: Multiply 7 and 14

Step-by-step explanation: to find the answer you multiply 7 and 14 you get 98$ which is the total cost pls consider making me brainliest if im correct i really hope i am :)) make sure to tell me if im wrong

Answer:

Step-by-step explanation:

Step 1: Assume your variables

We can see that the money is being saved on a weekly basis.

So, let's assume the number of weeks for which the money is being saved to be the variable: [tex]x[/tex]

And let's consider the total cost after [tex]x[/tex] weeks to be: [tex]y[/tex]

Step 2: Manipulate the variables according to the information given

$7 is being saved each week.

So, in one week, [tex]\$7[/tex] is saved.

In two weeks, [tex]\$(7\times 2)[/tex] is saved.

So, in [tex]x[/tex] weeks, [tex]\$(7\times x)[/tex] is saved.

Step 3: Create the equation

In words, the equation will be as such:

Total cost after [tex]x[/tex] weeks = Amount saved in [tex]x[/tex] weeks

Upon representing this mathematically, we get:

[tex]y=7\times x\\y=7x[/tex]

The equation  [tex]y=7x[/tex]  can be used to find the total cost.

What type of transformation is this? Be specific

Answers

that’s hard lol i think it might be rotations and reflection

Tom’s car has 11 1/9 gallons of gas. If he uses 38 of the gas, how much gas does the car have left?

Answers

Answer: 6 [tex]\frac{17}{18}[/tex] gallons of gas left in the car

Step-by-step explanation:

   Upon further clarification, this question reads "3/8 of the gas" and not "38 of the gas."

     If Tom's car has 11 1/9 gallons of gas, and we want to know how much gas the car will have left if he uses 3/8 of that, we first need to find 3/8 of 11 1/9.

     "Of" can usually be written as multiplication.

3/8 of 11 1/9 = 3/8 * 11 1/9 = 4 1/6

     Next, we will use subtraction since he uses 4 1/6 gallons of gas.

11 1/9 - 4 1/6 = 6 17/18 gallons

24. OPEN-ENDED Complete the table so that when t is the
independent variable, the relation is a function, and when
t is the dependent variable, the relation is not a function.

Answers

The following table shows how the relation is a function when t is the independent variable and not a function when t is the dependent variable:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

A vertical line drawn from the independent variable axis (x-axis) meets the function graph only once because a function is a relationship between an input and an output in which each input has just one output.

The independent variable is the input, while the dependent variable is the output.

Filling out the table in such a way that when t is the independent variable, the relationship is a function, and when t is the dependent variable, the relation is not a function, results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

Given that each value of the independent variable t has a corresponding value of the velocity v, the aforementioned is a function.

However, when t is the dependent variable, the independent variable value of 1 produces two outputs of 1 and 5, which results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

Learn more about functions here:

brainly.com/question/11624077

#SPJ1

Are null and alternative hypotheses statements about samples, about populations, or does it depend on the situation? explain.

Answers

The null and alternative are always claims about the population. That's because the goal of hypothesis testing is to make inferences about a population based on a sample.

Null hypothesis testing is a formal approach to deciding whether a statistical relationship in a sample reflects a real relationship in the population or is just due to chance.

Find the value of a. Enter a numeric answer only.

Answers

Solution

For this case we have the following, the sum of the angles needs to be 360 since we have a circumference:

10a-4 +6a-2 +8a+6=360

Regrouping we have:

10a +6a +8a -4 -2 +6= 360

24a= 360

a= 360/24= 15

A circle passes through the points (3, 2) and (7, 2) and has radius 2√2. Find the two possible equations for this circle.

Answers

Answer:

(x-5)²+y² = 8(x-5)²+(y-4)² = 8

Step-by-step explanation:

radius, r = 2√2

let the center be A(a, b):

The distance from the center to any of the 2 points is r.

So for (7, 2):

it satisfies the equation:

(x-a)²+(y-b)² = r²

Substituting x and y:

(7-a)²+(2-b)² = (2√2)²

squaring both sides:

(7-a)² + (2-b)² = 8

a² +b² - 14a -4b + 49+ 4= 8

a² +b² - 14a -4b + 45= 0        (Eqn 1)

For (3, 2):

it also satisfies the equation:

(x-a)²+(y-b)² = r²

Substituting x and y:

(3-a)²+(2-b)² = (2√2)²

squaring both sides:

(3-a)² + (2-b)² = 8

a² +b² - 6a -4b + 9+ 4= 8

a² +b² - 6a -4b + 5= 0        (Eqn 2)

We can now proceed by elimination:

(Eqn 2) - (Eqn 1):

(a² +b² - 6a -4b + 5) - (a² +b² - 14a -4b + 45) = 0

- 6a - -14a+ 5  - 45 = 0

8a - 40 = 0

8a = 40

a = 40/8

a = 5

Putting a back into (Eqn 2):

a² +b² - 6a -4b + 5= 0

5² +b² - 6(5) -4b + 5= 0

25 +b² - 30 -4b + 5= 0

b² -4b = 0

b(b -4) = 0

Values of b:

b = 0 and b = 4

POSSIBLE EQUATIONS OF CIRCLE:

Since we have 2 values of b, we have 2 possible centers:

(5, 0) and (5, 4)

Putting the centers into the standard equation of the circle above, we obtain:

(x-5)²+y² = 8 and(x-5)²+(y-4)² = 8

PLEASE VOTE AS BRAINLIEST.

BLAISE M.

stuck on this math question for years,! if anyone helps 12 points !!!

Answers

Answer:

3

Step-by-step explanation:

There are 4.5 diamonds, which represent 9 hours in total.

This corresponds to 9/3 = 3 circles.

Answer:

3 circles

Step-by-step explanation:

For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.

In the figure below, N lies between M and P.
Find the location of N so that the ratio of MN to NP is 7 to 2.
M
- 27
Location of N
N
?
X
→→
Ś
P
-9

Answers

The position of N on the line segment is at the -14 mark

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

How to determine the location of N?

The complete question is added as an attachment

From the attachment, we have

The ratio is given as:

MN : NP = 7 : 2

Also, we have

Location of M = -27

Location of P = -9

The location of N is then calculated as

N = MN/(MN + NP) * (M - P)

Substitute the known values

N = 7/(7 + 2) * (-27 + 9)

Evaluate the sum

N = 7/9 * -18

Evaluate the product

N = -14

Hence, the location of point N is -14

Read more about line segment ratio at

https://brainly.com/question/17374569

#SPJ1

if the scale in the drawing is 1/4inch=3miles, what is the distance, in miles between Hawthorne an Doylestown?(help)

Answers

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

[tex]\begin{gathered} \text{Scale : Actual} \\ \frac{3}{4}\text{ in : }3\text{ miles} \end{gathered}[/tex]

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

[tex]\text{Scale distance = 1.75 in}[/tex]

Now utilize the scale conversion ratio to determine the actual distance:

[tex]\begin{gathered} \text{Scale : Actual } \\ \frac{3}{4}in\text{ : 3 miles} \\ \\ 1.75\text{ in: x} \\ ======= \\ \\ \frac{3}{4}\cdot x\text{ = 3}\cdot1.75 \\ \\ x\text{ = }\frac{3\cdot1.75\cdot4}{3} \\ \\ x\text{ = 7 miles} \end{gathered}[/tex]

Therefore, the distance between Hawthorne and Doylestown is:

[tex]7\text{ miles}[/tex]

Can someone please answer this!

Answers

Answer: see the attachment

Step-by-step explanation:

h = # of hours worked

{10h and {15(h-40)+400 are both functions i.e. simplified equations

simply fit the # of hours worked in each equation to get the values. you can also double check your work or to understand better

to do so, take (h) # of hours worked and multiply by the pay rate. This gives the total pay over the work week. then take the extra hours beyond the 40. ie 7.  if $10 is the pay rate per hour and OT is 1.5xnormal pay then 10x1.5=15. Multiply 15x7 and you get 105 then add to 400 and you get $505. 400 comes from 10(40).

part b and c is just setting the functions.

so instead of 40 hrs per week your full-time rate is now 38 and anything beyond would be counted as overtime. so a normal work week of 38 hrs x the $10/hr would equate to $380 for the week.

part c, if the hours per week were kept normal at 40hrs/week but the pay rate is increased this then changes 10 = h to 12 = h. if 12=h and you work 40hrs/week, then 12(40)=$480 for the normal work week. also this changes your OT pay from 10(1.5)=15 to 12(1.5)=$18

Write a linear equation to represent the given problem and then solve the problem.

The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions?

Perimeter = 2 x Length + 2 x Width

Answers

Answer:

Step-by-step explanation:

Let L be the length and W the width

Perimeter of a rectangle is P = 2L + 2W

We are told that L = W + 14 (m)        [the length is 14 meters more than the width]

Area of a rectangle is A = L*W

We learn that A = 96 m^2

L*W = 96

Since L = W + 14, we can substitute:

L*W = 96

(W + 14)*W = 96 m^2

W^2 + 14W = 96

W^2 + 14W - 96  = 0

The solution to W in the above equation is 5.04 m

This means L = 5.04 m + 14 m

L = 19.04 meters

Perimeter = 2W + 2L

Perimeter = 2(5.04) + 2(19.04) = 96 m^2

3,4,16/3 find the 10 term

Answers

The 10th term of the Geometric Sequence {3,4,16/3....} is 262144/6561.

The [tex]n^{th}[/tex] term of the Geometric Sequence is

given by the formula

aₙ = a*rⁿ⁻¹

where , a is the first term , r is the common ratio .

in the question ,

the sequence is given as {3,4,16/3....}

here we need to find the common ratio(r) ,

we know , r = a₂/a₁

So , r= 4/3 .

Since we need to find the 10th term  , so n=10 .

Substituting the values in the nth term formula , we get

a₁₀ = (3)*(4/3)¹⁰⁻¹

= 3* (4/3)⁹

= 4⁹/3⁸

= 262144/6561

The 10th term is 262144/6561.

Therefore , the 10th term of the Geometric Sequence {3,4,16/3....} is  262144/6561.

The given question is incomplete , the complete question is

Find the 10th term of the Sequence  {3,4,16/3....} ?

Learn more about Geometric Sequence here

https://brainly.com/question/17717994

#SPJ1

In 2022, a company made a profit of $1.38 million. That amount is $2.54 million more than the profit from 2021.
What is the profit from 2021? Write & solve an Algebraic Equation.

Answers

P = 1.38 - 2.54 = -1.16 = a negative profit of $1.16 million = a loss of $1.16 million

12. Find the value of x.
+f
(7x+4) +(10x-11)=180 mid segment

Answers

The value of x is 11.

What is an equation?

Equations are mathematical statements which contains two algebraic expressions on both sides of an equal to '=' sign. it represents the relationship of equality among the expressions.

We are given an equation (7x+4)+(10x-11)=180

We open brackets and simplify the equation by adding similar values we get

17x-7=180

17x=187

on dividing both sides by 17 we get

x=11

Hence the value of x is 11

To learn more about equation please refer

https://brainly.com/question/10839449

#SPJ13

write the slope-intercept form of the equation for each line
bro i need sm to help me quick

Answers

Answer:

y = x + 7

Step-by-step explanation:

The line rises at a slope of 1 and intercepts the y-axis at 7.

The volume of this cube is 27 cubic centimeters. What is the value of p?P=___centimeters

Answers

[tex]\begin{gathered} V=p^3 \\ V=\text{volume} \\ 27=p^3 \\ \sqrt[3]{27}=\sqrt[3]{p^3} \\ \sqrt[3]{27}=p \\ Fatoring\text{ 27:} \\ 27=3.3.3=3^3 \\ \sqrt[3]{3^3}=p \\ p=3\operatorname{cm} \end{gathered}[/tex]

[tex]\begin{gathered} V=p^3 \\ V=\text{volume} \\ 27=p^3 \\ \sqrt[3]{27}=\sqrt[3]{p^3} \\ \sqrt[3]{27}=p \\ Fatoring\text{ 27:} \\ 27=3.3.3=3^3 \\ \sqrt[3]{3^3}=p \\ p=3\operatorname{cm} \end{gathered}[/tex]

HELP NEEDED FOR GEOMETRY PROOFS!!! I will give brainliest

Answers

The method used to prove the specified geometric relationship between the angles and sides of the triangles are as follows:

24. ΔDAE ≅ ΔBAC by SAS postulate, therefore

∠B ≅ ∠E              CPCTC

25. ΔACD ≅ ΔBCD by ASA postulate

∡A ≅ ∡B                     CPCTC

26 ΔACD ≅ ΔBCD               LH postulate.

∡A ≅ ∡B                                CPCTC

What are the congruency postulates?

The congruency postulates include, SSS, Side-Side-Side, AAS, Angle-Angle Side, SAS, Side-Angle-Side, HL, Hypotenuse Leg.

24. The two column proofs are presented as follows;

Statements            Reasons

1. [tex]\overline{CD}[/tex] bisects [tex]\overline{BE}[/tex] 1. Given

2. [tex]\overline{BA}[/tex] = [tex]\overline{AE}[/tex]             2. Definition of bisected line

3. . [tex]\overline{BA}[/tex] ≅ [tex]\overline{AE}[/tex]           3.. Definition of congruency

4. [tex]\overline{CA}[/tex] = [tex]\overline{AD}[/tex]             4. Definition of bisection of line [tex]\overline{CD}[/tex]

5. [tex]\overline{CA}[/tex] ≅ [tex]\overline{AD}[/tex]            5. The definition of congruency

6. ∠DAE ≅ ∠BAC   6. Vertical angles theorem

7. ΔDAE ≅ ΔBAC    7. SAS congruency postulate

8. ∠B ≅ ∠E              8. CPCTC

The acronym, CPCTC represents Corresponding Parts of Congruent Triangles are Congruent

25. Statement                 Reasons

1. [tex]\overline{CD}[/tex] ⊥ [tex]\overline{AB}[/tex]                     1. Given

2. [tex]\overline{CD}[/tex] bisects ∠ACB     2. Given

3. ∠3 = ∠4 = 90°            3. Definition of bisected lines

4. ∠1 ≅ ∠2                      4. Definition of bisected angle ∡ACB

5. ΔACD ≅ ΔBCD          5. ASA congruency postulate

6. ∡A ≅ ∡B                     6. CPCTC

                                                                                                                             

26. Statement                                        Reason

1. m∠1 = m∠2 = 90°                                1. Given

2. ΔACD and ΔBCD are right triangles 2. Definition

3. [tex]\overline{AC}[/tex] ≅ [tex]\overline{BC}[/tex]                                             3. Given

4.  [tex]\overline{CD}[/tex] ≅  [tex]\overline{CD}[/tex]                                          4. Reflexive property

5. ΔACD ≅ ΔBCD                                   5. LH Congruency postulate

6 ∡A ≅ ∡B                                               6. CPCTC

Learn more about the triangle congruency postulates here:

https://brainly.com/question/15338506

#SPJ1

suppose that the average price for a gallon of gasoline in the united states is 3.75 and in russia it is . assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of in the united states and a standard deviation of in russia. a. what is the probability that a randomly selected gas station in the united states charges less than per gallon (to 4 decimals)? b. what percentage of the gas stations in russia charge less than per gallon (to 2 decimals)? c. what is the probability that a randomly selected gas station in russia charged more than the mean price in the united states (to 4 decimals)?

Answers

Using probability, we know that the left-tailed area exists at 17.87%.

What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

So, now calculate as follows:

Let the critical value be x= $ 3.5Mean µ = $ 3.73Standard deviation σ = $ 0.25

Using formula:

z = (x - µ) / σ

Substitute the values in the above equation, and we obtain:

= (3.5-3.73) / 0.25

Simplifying the equation, we will get:

= (-0.23) / 0.25= -0.92

Finally, by using a table we calculate the left-tailed area:

P(z < -0.92) = 0.17878638 = 17.87 %

Therefore, using probability, we know that the left-tailed area exists at 17.87%.

To learn more about probability refer to:

https://brainly.com/question/28924396

#SPJ4

Complete question:

The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?

simplify 4√(384.5)³ using logarithm​

Answers

After simplification of 4√(384.5)³ using logarithm​, the resulting answer is 30158.13684.

What is a logarithm?The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number. When measuring the relative change of a value rather than its absolute difference, logarithmic scales are helpful. Moreover, logarithmic scales are used to compress large-scale scientific data because the logarithmic function log(x) grows very slowly for large x. Common logarithms, with a base of 10, binary logarithms, with a base of 2, and natural logarithms, with a base of e 2.71828, are the four most popular types of logarithms.

So,  4√(384.5)³ using logarithm​:

(Refer to the image attached below for calculations.)= 30158.13684

Therefore, after simplification of 4√(384.5)³ using logarithm​, the resulting answer is 30158.13684.

Know more about logarithms here:

https://brainly.com/question/25710806

#SPJ13

Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes. If she continues at the same rate, how many hours will it take for Selena to make 264 more pancakes?

Answers

Selena needs 4 more hours to prepare 264 more pancakes.

What is unitary method?

Unitary method is a process of finding the value of a single unit, and use this value to find the value of the required number of units.

Given is Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes.

We have -

The rate at which Selena is making pancakes = 132 pancakes in 2 hours.

Number of pancakes left to be made = 264

Now, in 2 hrs she makes 132 pancakes

Then, in 1 hr she will make (132/2) or 66 pancakes.

Now, she makes 66 pancakes in 1 hour.

So, she will make 1 pancake in (1/66) hours

Therefore, she will make 264 pancakes in (264/66) or 4 hours.

Therefore, she will need 4 more hours to prepare 264 more pancakes.

To solve more questions on unitary method , visit the link below-

https://brainly.com/question/18188026

#SPJ1

Seth buys last year's best-selling novel, in hardcover, for $21.75. This is with a 25% discount from the original price. What was the original price of the novel?

Answers

Price after the 25% discount: $21.75

This means that $21.75 is 75% of the original price. If x is the original price, then:

[tex]\begin{gathered} 75\text{\% of }x=21.75 \\ \frac{75}{100}\cdot x=21.75 \\ x=\frac{100\cdot21.75}{75} \\ \Rightarrow x=\text{ \$}29 \end{gathered}[/tex]

2. How do you determine the equation of the asymptote of an exponential function?

Answers

The general form of exponential function is given below:

[tex]\begin{gathered} y=a.b^x+c \\ \text{When a.b}^x=0,\text{ the asymptote of the function becomes } \\ y\text{ = c , which is, y-intercept} \\ \text{But where c=0, the asymptote is the line y = 0} \end{gathered}[/tex]

been stuck on this for ages

Answers

A bearing is a measurement of direction that uses North as a point of reference. Your bearing is 00° if you are moving north.

The angle from north to this bearing, measured counterclockwise, is the actual bearing. Utilize the knowledge that west is 270° from the north, south is 180°, and east is 90°.

The number of degrees in the angle measured counterclockwise from the north line to the line connecting the center of the compass is the bearing of a point.

How do you determine bearing angle?

The bearing is the angle subtracted in a clockwise direction from north to west. The bearing is 270° - 17° = 253° since the angle from north to west is 270°.

To learn more about Bearings refer to:

https://brainly.com/question/28782815

#SPJ13

Math
Simplify each expression. show your solution

Answers

To simplify a phrase, create an equivalent expression without any terms that are identical.The expression will then be rewritten using the fewest terms feasible.

What is an equation to simplify?

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement.The fundamental guidelines and procedures to simplify any algebraic statement are as follows:By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants together. Add numbers

      2+1

    =   3

    2³  = 8

    first one 8

   2.  x²× x°

   = x ²+°

   3.a6_a4

  = a2

 4.   x×x×y×y

   =x²y²

  5 x²×x×y×y²

 =   x³y³

  6.(mn)5

=  m5N5

 7 (abc)²

 = a²b²c²

 8.(p²q)³

 p6q3

To learn more about simplify equations refer

https://brainly.com/question/723406

#SPJ13

For a particular rectangle, twice the width is 4 meters shorter than the length. The area of the rectangle is 126 square meters. What is the perimeter of the rectangle? ? meters

Answers

Let l be the length of the rectangle and w its width.

Then its area is given by:

a = l*w

Its perimeter is given by:

p = 2l + 2w

We also know that, for this specific triangle, we have:

2w = l - 4

l = 2w + 4

a = 126 m²

Applying this result in the area formula, we have:

w*l = 126

w(2w + 4) = 126

2w² +4w = 126

2w + 4w - 126 = 0

Therefore, w = 7 m and l = 2*7 + 4 = 10 m

Then, the perimeter is given by:

p = 2*18 + 2*7 = 36 + 14 = 50 m

I need some explanation on how to do piece wise functions? Where do I even start with this equation, can you explain this step by step? Including breaking down the graphing of absolute functions?

Answers

A piecewise function is basically a function that behaves differently at different domain intervals.

The given piecewise function is

[tex]\begin{cases}2x\quad \quad \quad \quad \quad \quad x\le3 \\ \frac{1}{3}x^2-2x+9\quad x>3\end{cases}[/tex]

As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.

The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.

Evaluate the piecewise function for the interval x is less than or equal to 3.

[tex]\begin{gathered} 2x \\ x=1\rightarrow2(1)=2 \\ x=2\rightarrow2(2)=4 \\ x=3\rightarrow2(3)=6 \end{gathered}[/tex]

Evaluate the piecewise function for the interval x is greater than 3.

[tex]\begin{gathered} \frac{1}{3}x^2-2x+9 \\ x=4\rightarrow\frac{1}{3}(4)^2-2(4)+9=6.33 \\ x=6\rightarrow\frac{1}{3}(6)^2-2(6)+9=9 \\ x=8\rightarrow\frac{1}{3}(8)^2-2(8)+9=14.33 \end{gathered}[/tex]

Now, let us graph these points

As you can see from the graph, it matches with the graph of the 2nd option.

Therefore, the correct graph of the given piecewise function is the 2nd graph.

4x - 2y = 5 if the range is {-5,-3,0,7}

Answers

The domain of the given function given range is {1.25, -0.25, 1.25, 4.75}

Domain and range of a function

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f(x) make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of value.

Given the range of the function as {-5, -3, 0, 7}

Determine the domain from the function 4x - 2y = 5

4x - 2y = 5

4x - 2(-5) =5

4x + 10 = 5

4x = 5

x = 5/4 = 1.25

If y = -3

4x - 2y = 5

4x - 2(-3) =5

4x + 6 = 5

4x = -1

x = -1/4 = -0.25

If y = 0

4x - 2(0) =5

4x - 0 = 5

4x = 5

x = 5/4 = 1.25

If x = 7;

4x - 2y = 5

4x - 2(7) =5

4x - 14 = 5

4x = 19

x = 19/4 = 4.75

Therefore the equivalent domain of the function is {1.25, -0.25, 1.25, 4.75}

Learn more on domain and range here: https://brainly.com/question/2264373

#SPJ1


Consider the line whose equation is y=-1/2x+3
any line that is perpendicular to this line is

Answers

Answer:

positive

Step-by-step explanation:

for a line to be perpendicular to another line, the slope must be reciprocaled and if its positive it becomes negative (vice versa)

y = -1/2x+3 = Line A

y = 2x+3 = PERPENDICULAR to Line A

Explain what is 20 divided by 5/3 show work

Answers

Answer:

12

Step-by-step explanation:

Other Questions
what or who caused the plague in idm-al -wardi Select all the correct answers.Look at the examples in highlighted text. Which show Clifford's problem with depression? (Choose three.) Continually, as we may express it, he faded away... "My dearest cousin, cannot you tell me... Each time, the delay seemed to be without purpose... Yet there were no tokens that his physical strength.. "This is our cousin Phoebe... = The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 82. If state A has more counties than state B, how many counties does each state have? State A has counties. What is (30 x 10 to the power of 6) + (40 x 10 to the power of 5) Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? A. (-7, -1), 36 units B. (7, 1), 36 units C. (7, 1), 6 units D. (-7, -1), 6 units learning curves are a strong competitive weapon, especially in developing group of answer choices a. a pricing strategy b. an advertising campaign c. a long-term customer d. none of the above What is the purpose for separating the powers of the government into three branches Which of the following sentences properly uses a semicolon to join two independent clauses?A. There have been incredible updates in vegan food in the 21st century; vegan cheese didn't even melt just 10 short years ago, and now it's delicious.B. There have been incredible updates in vegan food. In the 21st century, vegan cheese didn't even melt just 10 short years ago; and now it's delicious.C. There have been incredible updates in vegan food in the 21st century vegan cheese didn't even melt just 10 short years ago; and now it's delicious.D. There have been incredible updates; in vegan food in the 21st century, vegan cheese didn't even melt just 10 short years ago, and now it's delicious. The wave shown below is headed towards the end to the right. What will happen to the wave when it reaches the end of the string?-The wave will be absorbed by the support.-The wave will be reflected but inverted.-The wave will stop at the end of the string. -The wave will be reflected but not inverted. An Alaskan rescue plane traveling 37 m/sdrops a package of emergency rations froma height of 153 m to a stranded party ofexplorers.The acceleration of gravity is 9.8 m/s.Where does the package strike the groundrelative to the point directly below where itwas released? I need some help with this massive dynamic computers sources the components for its laptops from various suppliers on the market. the firm pays $100 for processors, $35 for disk drives, $50 for screens, $10 for memory, and $40 for graphics and wireless internet cards. massive dynamic has determined that it would cost $200 per unit to produce all of the necessary components in its in-house manufacturing facility. in this scenario, massive dynamic should thalia is writing a letter to the city council in her town. there is a vacant lot in her town, and some people want to turn it into a parking lot. thalia thinks the lot should be turned into a skate park. in an outline she creates to plan her letter, she lists the following reasons: reason 1: there is no safe place in town for kids to skateboard or roller-skate. reason 2: adults are always saying that kids need to get more exercise. reason 3: another parking lot would just increase traffic downtown. which piece of evidence could thalia use to support reason 3? Their house is worth more now then when they bought it. The value of their house __increased since they bought it/1. would have2. hasn't3. has4. is What big ideas have survived from freuds psychoanalytic theory? in what ways has freuds theory been criticized?. the marketing department at kroger is using software to measure and interpret the effectiveness of a new promotional campaign it launched on sustainable seafood. it wants to evaluate the return on investment of the campaign and make changes to the campaign if needed. which tool is kroger most likely using? x-3 divided by x^2 + 5x + 2 if a certain number is added to both the numerator and denominator of the fraction 8/9, the result is 6/7. Find the numer. Limiting the intake of saturated fat, cholesterol, and trans fat helps to decrease the risk of heart disease. The 2020-2025 dietary guidelines for americans recommends saturated fat be limited to what amount of total calories?. r. snook had a fee simple estate and sold it to mr. dunn, but kept a life estate based upon his own life and remained in possession. mr. snook then sold his interest to mr. britt and gave possession to mr. britt. when mr. dunn heard of the sale, he demanded possession of the property. who is entitled to possession?