Points A(-1, 2) and B(5,8) are the endpoints of AB. What are the coordinates of point C on AB such that AC is 2/3 the length of AB

Answers

Answer 1

The coordinates of point C on AB such that AC is 2/3 the length of AB is (2,0)

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

To find out how long AC is, we must first find the length of AB.

According to Pythagorastheorem,

[tex]a^2 + b^2 = c^2[/tex].

Thus [tex]4^2 + 6^2 = c^2[/tex].

[tex]16 + 36 = c^2[/tex].

The square root of this is;

c = √52.

AB is 7.21 units long.

2/3 of 7.21 is 4.8

The coordinate that fits this is (2,0).

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Related Questions

A class measured the radius r, circumference C, and area A of various circular objects. The results are recorded in thistable. b. Does the equation A=1/2*r* C describe the relationships in the table? Explain your reasoning.YesNor (cm) C (cm) A (cm)42550

Answers

Equation:

A =1/2 * r * C

Replace with the values from the table and check the equation:

First row:

50 = 1/2*4*25

50= 50 TRUE

Second row:

78.5= 1/2*5*31.5

78.5= 78.75 FALSE

Since one equality is false, the equation Doesn't describe the relationship-

Answer : NO

-3/2 = -2/3w - 4/5 solve for w and simplify your answer as much as possible

Answers

Hello!

Here are all three solutions to the given equation.

Exact Form:

[tex]w=\frac{21}{20}[/tex]

Decimal Form:

[tex]w=1.05[/tex]

Mixed Number Form:

[tex]w=1\frac{1}{20}[/tex]

Hope this helps!

With the triangle below, find AB when CD is 15​

Answers

Answer:

30 units

Step-by-step explanation:

point D is the midpoint of the bottom line, and we can infer 2 similar triangles from the markings on the triangle,

15  × 2  =ab

as CD is in the middle of the large triangle, the scale factor from the small triangle to the large triangle is 2.

Which IRS form is provided at the end of the year by employers, so employees can use it to file taxes?

Answers

The  IRS form is provided at the end of the year by employers, so employees can use it to file taxes is Form W-2.

What is Form W-2?

Form W-2 can be described as the form that is been offered from the  Internal Revenue Service which can be considered as the (IRS) tax form .

It should be noted that this form is been used in the United States so that the wages that is been paid to employees  as well as their taxes can be reported. withheld from them

It should be noted that the form is been provided  when the year is coming to an end by employers.

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[tex]x^{2} + 2x _5=0[/tex]

Answers

Step-by-step explanation:

Substitute the values

a

=

1

,

b

=

2

, and

c

=

5

into the quadratic formula and solve for

x

.

2

±

(

2

)

2

4

(

1

5

)

2

1

Simplify.

x

=

1

±

6

Simplify the expression to solve for the

+

portion of the

±

.

x

=

1

+

6

Simplify the expression to solve for the

portion of the

±

.

What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

Given f(x)=x+2 and g(x)=4-x^2 find the following (g o f)(x)

Answers

Given functions are

[tex]\begin{gathered} f(x)=x+2 \\ g(x)=4-x^2 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} (g\circ f)(x)=g(f(x)) \\ =g(x+2) \\ =4-(x+2)^2 \\ =4-(x^2+4x+4) \\ =4-x^2-4x-4 \\ =-(x^2+4x) \end{gathered}[/tex]

Thus,

[tex](g\circ f)(x)=-(x^2+4x)[/tex]

What is DA equal to? Brainiest if correct and please show your answer.

Answers

Answer:

DA is equal to 25 or BA

Step-by-step explanation:

ABC

ADC

Since we know that line CA is equal to line CA because of reflexive propertyAngle BAC and DAC are equal because of definition of an angle bisectorAngle ABC and ADC are equal because of definition of an angle bisectorThis will give us ASA, proving to us that all sides and angles are congruent (this was already given to us)So, if BA is 25, and we know that BA is congruent to DA, this tells us that DA is 25

n is an integer. What are the possible values of n? A -2, -1, 0, 1, 2, 3, 4, 5, 6 B BUDE -2 < n ≤ 6 C -1, 1, 2, 3, 4, 5, 6 -2, -1, 0, 1, 2, 3, 4, 5 -2, -1, 0, 1, 2, 3, 4, 5, 6, 7 E -1, 0, 1, 2, 3, 4, 5, 6​

Answers

Answer:  Choice E

Explanation:

The given inequality means n is between -2 and 6. We exclude -2 itself, but include 6.

The set of integer values is -1, 0, 1, 2, ..., all the way up to 6.

Marques works in a department store selling clothing. He makes a guaranteed salary of $200 per week, but is paid a commision on top of his base salary equal to 10% of his total sales for the week. How much would Marques make in a week in which he made $750 in sales? How much would Marques make in a week if he made x dollars in sales?

Answers

The most appropriate choice for percentage will be given by -

Total salary of Marques in a week = $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{x}{10}[/tex])

What is Percentage?

Suppose there is a number and that number has to be expressed as a fraction of 100. The fraction is called percentage. For example 2% means [tex]\frac{2}{100}[/tex]

Here,

Guarantee salary of Marques = $200

Sales made by Marques in a week= $750

Percentage commission on total sales = 10 %

Commission received by Marques = [tex]\frac{10}{100} \times 750\\[/tex]

                                                          = $75

Total salary of Marques in a week = $(750 + 75)

                                                         = $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{10}{100}\times x[/tex])

                                                                                            = $([tex]750[/tex] + [tex]\frac{x}{10}[/tex])

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Given m ||n, find the value of x and y.

Answers

Answer:  The correct answer is x=18 and y=59

Step-by-step explanation:

Opposite angles are congruent:

(6x+13) = (7x-5)

Solve for x:

6x+13−7x=7x−5−7x

−x+13−13=−5−13

−x=−18

x=18

Plug x value in for y:

Y=180-(7x-5)

Y=180-(126-5)

Y=180-121

Y=59

what is the first step that contains an error

Answers

7+8x=0

first step -Subtract 7 from both sides.

7+8x-7=0-7

Step 2

8x=-7

Step 3

Divide both side by 8

[tex]\frac{8x}{8}=\frac{-7}{8}[/tex]

Instead of dividing the right hand side of equation in step 2 by 8, the right hand side is multiplied by 8 in step 3.

So, the error is in step 3.


Solve for X round to nearest tenth

Answers

Answer:

the answer for this question is 35.0

Sin 59 = opp / hyp
Hyp = opp /sin 59
= 30/0.636 (note that sin 59 is 0.636)
= 47.16

1. What is the value of 18 + (-7) – (-5)

Answers

Answer:

16

Step-by-step explanation:

Two negatives make a positive:

18-7+5

Solve the problem left to right:

18-7=11

11+5=16

a report on high school graduation stated that 85 percent of high school students graduate. suppose 3 high school students are randomly selected from different schools. what is the probability that none will graduate?

Answers

The probability that exactly none will graduate is [tex]0.003375[/tex].

What is probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes.

Step-by-step explanation:

Let [tex]X[/tex] be the random variable for the number of students who graduate.

Binomial distribution theorem tells that, [tex]P(X=x)=C(n , x)p^xq^{n-x}[/tex].

Here [tex]p=[/tex]probability of success on a single trial, [tex]q=[/tex]probability of failure on a single trial, [tex]n=[/tex] number of trials.

Given that [tex]p=0.85, q=1-p=1-0.85=0.15[/tex] and [tex]n=3.[/tex]

[tex]P(X=x)=C(3 , x)0.85^x0.15^{3-x}[/tex]

When [tex]3[/tex] students are randomly selected the probability that exactly none will graduate is given by,

[tex]P(X=0)=C(3 , 0)0.85^00.15^{3-0}[/tex]

[tex]P(X=0)=\frac{3!}{0!(3-0)!} 0.15^{3}[/tex]

[tex]P(X=0)=0.15^{3}[/tex]

[tex]P(X=0)=0.003375[/tex]

Hence the probability that exactly none will graduate is [tex]0.003375[/tex].

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(10-x)+(12-x) HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

x=-11

Step-by-step explanation:

Steps are in the attachment, but I couldn't include the last step.

The last step is to divide by -2 on both sides.

The final answer then will be x=-11

suppose 52% of the students in a university are baseball players. if a sample of 436 students is selected, what is the probability that the sample proportion of baseball players will be greater than 45%? round your answer to four decimal places.

Answers

Probability of proportion will be greater than 3.18

What is meant by Probability of Proportion?

Probability of Proportion: Probability represents the chances of some event happening. It is theoretical. Proportion summarizes how frequently some event actually happened

Population Proportion, p=0.52

sample proportion p'=0.45

sample size be n =436

probability of proportion will be greater than 52%

[tex]p(p' > 0.45)=p(p'-p\sqrt{p(1-p)/n} )[/tex]

[tex]=-p(z > (0.45-0.52)/\sqrt{0.52((1-0.52)/436}[/tex]

=P(z>-3.18)

probability of proportion will be greater than 3.18

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Please help me, it is sooooo important

Answers

1. None
2. Figure B
3. Figure A

Answer:

1: figures a and b

2: figures a and b

3: figure a

Step-by-step explanation:

2 & 3:

all squares are rectangles, but not all rectangles are squares

Hope this helps!

y=3/5x+3 graph the line

Answers

We want to graph the line:

[tex]y=\frac{3}{5}x+3[/tex]

For doing so, we will choose two different x-values, and we will find its correspondent y-values. This gives us two different points, and when we trace the line that passes through those points, we will have the line we wanted.

In this exercise, we will choose x=0, and x=5.

For x = 0

[tex]y=\frac{3}{5}(0)+3=0+3=3[/tex]

This gives us the point (0,3).

For x = 5

[tex]y=\frac{3}{5}(5)+3=\frac{15}{5}+3=3+3=6[/tex]

This gives us the second point: (5,6).

Now, graphing the points on a cartesian plane, and drawing the line between them, we obtain:

10 miles per hour equal feet per second

Answers

Let's recalll that:

• 1 mile per hour = 1.46667 feet per second

Therefore:

• 10 miles per hour = 1.46667 * 10 feet per second

,

• 10 miles per hour = 14.6667 feet per second, Khalil!

What is the answer to this ive been doing this all day and still cant figure it out

Answers

The proof explained below shows that the triangles are congruent by the AAS congruence theorem.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that two triangles can be proven to be congruent to each other if the two angles and a non-included side in one triangle is equal or congruent to two corresponding angles and a corresponding non-included sides in the other triangle.

This implies that, once the criteria needed prove that two triangles are congruent by the AAS congruence theorem are two pairs of congruent angles and a pair of non-included congruent sides.

Using the AAS congruence theorem, the two-column proof that shows each statement and the reason are explained below.

Statement                                   Reason                                        

1. CA bisects angle BAD          1. Given

angle B ≅ angle D                                  

2. Angle CAB ≅ angle CAD     2. Congruent angles formed from bisection

3. Side AC ≅ side CA               3. Reflexive property

4. Triangle ABC ≅ triangle ADC    4. AAS congruence theorem

Thus, the above reasons and statements shows that the two triangles, triangle ABC and triangle ADC, are congruent by the AAS congruence theorem.

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What's a corner of a square? Two lines where they meet

Answers

Answer: A square is a shape with four equal-length sides and four corners that are all right angles.

which pair of equations is a set of parallel lines ? a. y = x + 2 and y = 2 b. x = 2 and y = 4

Answers

Neither of the pairs of linear equations has the same slope in both lines, so we don't have parallel lines.

Which pair of equations is a set of parallel lines?

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are parallel only if both lines have the same slope and a different y-intercept.

In this case, the lines given are:

y = x + 2 and y = 2.

x = 2 and y = 4

Neither of these are particularly parallel lines (because in both pairs we have different slopes), so we conclude that there is no correct option.

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6
Pens cost 20p each.
Rulers cost 60p each.
Saj buys some pens and some rulers.
He buys 8 rulers.
The total cost is £10
How many pens does he buy?

Answers

Answer:

26 pens

Step-by-step explanation:

Let P and R be the numbers of Pens and Rulers Saj purchases.

The cost of P Pens and R Rulers:

Pens = P(20p)

Rulers = R(60p)

P(20p) + R(60p) = £10

P(0.20) + R(0.60) = 10

R = 8

P(0.20) + (8)*(0.60) = 10

P(0.20) + 4.8= 10

P(0.20) = 5.2

P = (5.2/0.20)

P = 26 pens

CHECK:

8 Rulers = 8*(60p) = 480p

26 Pens = 26*(20p) = 520p

Total = £10

Alexa buys an oil painting online for $941.20. If shipping and handling are an additional 20% of the price, how much shipping and handling will Alexa pay?

Answers

No clue g my fault
………….….

If y= 4 1/4 when x= 3/4, find y when x= 4 1/2

Answers

when y = 17/4, x= 3/4

then assume y varies directly as x

then y =kx

k = y/x

k= 17/4× 4/3

k= 17/3

when x= 3/4, y = 27/34

What is variation?

A variation is a relation between a set of values of one component and a set of values of other component.

Direct variation is a type of variation in which two variables go line in line with their values

y= kx where k is the proportionality constant

k = 17/3 when y = 17/4 and x= 3/4

using thesame value of k in the expression k=y/x

and x = 3/4, then

y= 27/34

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Miguel is going to see a movie and is taking his 5 kids. Each movie
ticket costs $12 and there are an assortment of snacks available to
purchase for $5 each. How much total money would Miguel have to
pay for his family if he were to buy 5 snacks for everybody to share?
How much would Miguel have to pay if he bought a snacks for
everybody to share?

Total cost with 5 snacks:


Total cost with a snacks:

Answers

54$uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuyuuuuuuuuuuuu

Write an equation in slope-intercept form of the line that passes through the given points. PLEASE HELLLPPPPPPPPP.....

Answers

The equation of the table in slope intercept form is y = - 5 / 2x - 1

How to write equation in slope intercept form?

Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.

But the equation of the table below will be represented in slope intercept form.

The equation in slope intercept form can be represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, using (-4, 9)(-2, 4)

m = 4 - 9 / -2 + 4

m = - 5 / 2

Hence, let's find the y-intercept using (0, -1)

y = - 5 / 2x + b

-1  = - 5 / 2(0) + b

b = -1

Therefore, the equation is y = - 5 / 2x - 1

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the length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 8 cm/s. when the length is 7 cm and the width is 4 cm, how fast is the area of the rectangle increasing (in cm2/s)?

Answers

The rate at which the area is increasing is 95cm/sec² .

Let us take the variable a to be the length of the rectangle and take the variable to b be the width of the rectangle.

We know that the area of the rectangle is given by A=a × b

Now differentiating with respect to t we get :

[tex]\frac{dA}{dt} = w\times\frac{da}{dt} +l\times\frac{db}{dt}[/tex]

Substituting the values we get that the rate of increase in the area is :

Rate of increase = (32 + 63) cm/sec² = 95 cm/sec²

A constant function is also regarded as linear in this sense because it is a polynomial of degree zero, or the zero polynomial.

A line segment represents the graph of a single variable.In this context, a function that is also a linearly map may be referred to as a homogeneous linear function or a linear form (the other meaning). In the context of linear algebra, the scalar-valued affine mappings are functions of degree 0 or 1.

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Type the number of the spelling rule that applies to the word.

noisy

Answers

Answer:

Step-by-step explanation:

if a word ends in a consonant plus "y" , we change "y" to "i" and add "es" to form the plural; "er" for comparative and "est" for superlative

noisiest and noisier

Answer:

Step-by-step explanation:

5

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