Which of Talia's steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answers
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
c
Step-by-step explanation:
took the quiz!!
Related Questions
х+5y = 3
3х - 2y = -8
Answers
Subtract 5y from both sides: x=3−5y
Substitute
x=3−5y into 3x−2y=−8
Start with the original equation: 3x−2y=−8
Let x=3−5y: 3(3−5y)−2y=−8
Simplify: 9−17y=−8
Solve for y in 9−17y=−8: y=1
Substitute y=1 into , x=3−5y : x=-2
X=-2
Y=1
the mass of the moon
Answers
Answer:
The answer is 10^24kg. 0.07346.
Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answers
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
help meeeeeeeeeeeeeeee
Answers
Answer:
A
Step-by-step explanation:
Explanation:
what is −58+34 any one know?
Answers
Answer:
-24
Step-by-step explanation:
Answer:
-58 + 34 = -24
Step-by-step explanation:
You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.
REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.
Hope that was helpful and not confusing!!!
Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly Payment (PMT) = 200 at the end of each period
interest rate = 2.9% = 0.029/12 = 0.0024166
Period (n) = 43 years x 12 = 516
Using the future value(FV) of an ordinary annuity:
FV = PMT[(1 + r)^n - 1] / r
FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166
FV = 200[(1.0024166)^516 - 1] / 0.0024166
FV = 200(2.4745372) / 0.0024166
FV = 204,794.93
Amount which will be in saving plan towards retirement = $204,794.93
Interest amount :
$204,794.93 - total monthly deposits
$204,794.93 - (200 * 516)
$204,794.93 - $103,200
= $101,594.93
The area of a square garden is 9ft. How long is each side of the garden
Answers
The length of each side of the square garden is 3ft.
What is a square?A square is a quadrilateral with four equal straight sides and four right angles.
To find the area of a square garden, multiply two equal sides.
The area is the space of a two-dimensional line.
To find the length of each side of a square garden, compute the squared root of the area.
Area of the square garden = 9 ft
Length of each side = √9
= 3 feet
Thus, each side of the garden has 3 ft.
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What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}
a {0, 2, 4}
b {-1, 1, 3}
c {2/3, 4/3, 2}
d {-2/3, 5/3, 4}
Answers
Answer:
D.
Step-by-step explanation:
SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY
helppppppppp pls
yhghfhcgfvg
Answers
Answer:
Length of the side is 10 for a
Each side for b is 3
Step-by-step explanation:
Answer:
50 and the second one is 3
Step-by-step explanation:
to get the length from each side the area divide the area by 2 and to get the length for each side from the total perimeter then divide by 4
7(y-2)=7y-14 I’m kinda confused
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answers
Answer:
The least number of plates and cups she can buy is 24
She will buy 3 packs of plates
She will buy 2 packs of cup
Step-by-step explanation:
Plates = 8 per pack
Cups = 12 per pack
Find the Lowest common multiple of 8 and 12
8 = 16, 24, 32, 40, 48, 56, 64, 72, 80
12 = 24, 36, 48, 60, 72
What is the least number of plates and cups she can buy?
The Lowest common multiple of 8 and 12 is 24
The least number of plates and cups she can buy is 24
How many packs of plates?
Packs of plates = 24 plates / 8 per pack
= 3 packs
She will buy 3 packs of plates
How many packs of cups?
Packs of cups = 24 / 12 per pack
= 2 packs
She will buy 2 packs of cup
Find the slope of the line
(1,-5),(-4,0)
Answers
Y^2-Y^1/X^2-X^1
0-(-5)/-4-1
5/-5
-1
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
Help plz and thanks
Answers
Answer:
8
Step-by-step explanation:
4x4=16x8=128
What are the values of x and y?
image attached. Thank you!
Answers
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 9[tex]\sqrt{3}[/tex]
----------------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9[tex]\sqrt{3}[/tex] and y = 9 → C
5(x – 10) = 30 – 15x
Solve
Answers
Answer:
x=4
Step-by-step explanation:
5(x-10) = 30- 15x
5x - 50= 30 - 15x
+15x +15x
20x - 50 = 30
+50 +50
20x = 80
/20 /20
x = 4
Hope this helps!
find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz
Answers
Answer:
(-5, 0.5)
Step-by-step explanation:
-12+2/2= -5
-9+10/2= 0.5
(-5, 0.5)
Which of the following is an example of the atmosphere interacting with the biosphere?
Answers
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Evaluate the following expression. Express your answer in simplest form. 3/16 + 5/8 × 1/2
Answers
Answer:
1/2
Step-by-step explanation:
We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.
Need all these questions answer plz
Answers
Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-2 1 -2.00 6.00
-3 1 -3.00 9.00
-4 1 -4.00 0.00 x + 4
-6 1 -6.00 -78.00
-12 1 -12.00 -1224.00
1 1 1.00 -15.00
2 1 2.00 -6.00
3 1 3.00 21.00
4 1 4.00 72.00
6 1 6.00 270.00
12 1 12.00 2064.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 + 3x2 - 7x - 12
can be divided with x + 4
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 + 3x2 - 7x - 12
("Dividend")
By : x + 4 ("Divisor")
dividend x3 + 3x2 - 7x - 12
- divisor * x2 x3 + 4x2
remainder - x2 - 7x - 12
- divisor * -x1 - x2 - 4x
remainder - 3x - 12
- divisor * -3x0 - 3x - 12
remainder 0
Quotient : x2-x-3 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x+4) which appears on both sides of the fraction line.
Final result :
x2 - x - 3
Terms and topics
More Icon
Polynomial root calculator
Polynomial long division
Related links
More Icon
Root Finder -- Polynomials Calculator
How to factor five term polynomial - Yahoo Answers
Long Polynomial Division
Polynomial long division - Wikipedia
Polynomial Long Division
Polynomials - Long Division
PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!
Answers
Answer:
Step-by-step explanation:
I & III look good
What do the two lines in the graph below have in common?
Answers
Answer: Parallel and same slope
Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.
branliest plssss :)
I need help with this
Answers
Answer:
ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure
a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.
Answers
Step-by-step explanation:
20n 20394848484848575
The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.
What is Force?Force is the strength applied on an object with mass to change its state of motion.
The mass of the body is 10kg.
The force applied on the object is 40N.
The time for which the force is applied is 0.5 sec.
The impulse on the body is calculated by,
Impulse = Force * Time
Impulse = 40 * 0.5
Impulse = 20 kg-m/s
The final speed of the body is given by
v = u + at
Assuming the initial speed = 0
v = at
Acceleration = Force / mass
Acceleration = 40/10
a = 4 m/s²
v = 4 * 0.5
v = 2 m/s
The distance covered within the time interval is given by,
s = ut + (1/2) at²
s = (1/2) at²
s = (1/2) 4 * 0.5 *0.5
s = 0.5 m
To know more about Force
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Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?
Answers
Answer:
the product of the two integers is -80
Answer:
-80
Explanation:
it was on a mathcounts competition
Convert 10 feet into yards. Round your answer to the nearest hundredth.
Answers
A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +2. It then crawls 3.5 centimeters left, 4.8 centimeters right, and 7.9 centimeters left.
Question 1
Part A
Where is the ant on the number line now?
Enter the correct answer in the box.
Answers
Answer:
Position = -5
Step-by-step explanation:
The number line is not shown, however the question can still be answered.
Given
Start Point: +2
Left Movement: 3.5cm and 7.9cm
Right Movement: 4.8cm
Required
Determine the Ant's position
To do this, we treat all left movements as negative and all right movements as positive.
So, we have:
Position = 2 - 3.5 - 7.9 + 4.8
Position = -4.6
Since the number line is spaced by 1cm, we have to approximate to the nearest integer.
Position = -5
Which expression is equivalent to 5 (h + 9)?
Answers
Answer:
5(m+9) = 5m+25
Answer:
5(m+9) = 5m+25
Step-by-step explanation:
durrrrrrrrrrrrrrr
Solve for y.
C=8(y + k)
Answers
Answer:
C/8 -k= y
Step-by-step explanation:
C=8(y + k)
Divide each side by 8
C/8 = y+k
Subtract k from each side
C/8 -k = y+k-k
C/8 -k= y
Answer: y = C /8 − k
Step-by-step explanation:
Write an expression that is equivalent to three over five (3y + 15). (4 points)
A three over five y + 9
B three over five y + 15
C nine over five y + 9
D nine over five y + 15
HELP ASAP
Answers
Answer:
The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ Three over five means [tex]\frac{3}{5}[/tex]
∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)
→ By using the distributive property, multiply each term inside the
bracket by three over 5
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)
→ Multiply three over five by 3y
∵ [tex]\frac{3}{5}[/tex] (3y) = [tex]\frac{3(3)}{5}[/tex] (y) = [tex]\frac{9}{5}[/tex] y
→ Multiply three over five by 15
∵ [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{3(15)}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
∴ [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{9}{5}[/tex] y + 9
∴ The equivalent to three over five (3y + 15) is [tex]\frac{9}{5}[/tex] y + 9
c please give 4 stars :)
any luck of help? pls say yess I'll brainlist u!!! give u 5 star just help me answer
Answers
Answer:
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
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