A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the image of the dilation. Point P is at (-2, 3) and P' is at (-8, 12). Which rule best represents the dilation? *

Answers

Answer 1

Answer:

(x, y) → (4x, 4y)

Step-by-step explanation:

Dilation is applied by the rule:

(x, y) → (kx, ky), where k is the scale factor

We have

(x, y) = (-2, 3) and (kx, ky) = (-8, 12)

Substitute and solve for k

-8 = -2k and 12 = 3k  ⇒ k = 4

So the rule is

(x, y) → (4x, 4y)

Related Questions

Teri earned $18.25 an hour at the semiconductor plant. The payroll deductions reduced her paycheck by $182.50. If her first weekly paycheck was at least $547.50 after the deductions, how many hours did she work that week?

Answers

Answer:

40 hours

Step-by-step explanation:

did 18.25*40 then subtracted 182.50 and it equaled 547.50

If 5 boxes of girl scout cookies cost $20, how many boxes of girl scout cookies can I buy for $36?

Answers

You can buy 9 boxes of Girl Scout cookies

Answer:

9

Step-by-step explanation:

20 / 5 = 4  36 / 4 = 9

I need help with Geometry

Answers

Answer:

Angle 1 is 17° Angle 3 is 73°

Hope this helps.

Parker simplified the expression y2-5 (y+y2+8y+16/y+4)-12 as shown below. Which statement best describes Parker's error?

Answers

Answer:

he distributed -5 incorrectly

Answer:

D one Edge 2021 ;))

Step-by-step explanation:

Plsss I need help ASAP

Answers

Answer:

The first is True.

The second is False.

The third is True.

The fourth is True.

The Fifth is False.

Answer:

true, true, false

Step-by-step explanation:

PLZ HELP!!!! ILL GIVE BRAINLIEST

Answers

Answer:

0,0

Step-by-step explanation:

not 100% sure

This side of square S is twice the diameter of circle C what is the greatest possible number of points of intersection of perimeter of square S and the circumference of circle C

Answers

Answer:

2

Step-by-step explanation:

C is too small to have more.

HELP PLSSS IM BEGGING YALL

Answers

Answer:

um go eat a PoTAto cause they are good :(

180-65=115/5=21 is the answer

what does 3x+8+9x^2 equal?

Answers

Answer:

Stays the same. OR Standard form: 9x^2+3x+8

Step-by-step explanation:

You can't factor it. When you add them it's the same bc, you can't combine anymore like terms. let me know if this helps at all? What is your objective? Tryna factor? Add polynomials? ???

8th grade math! If you know the answer to this problem please interact(:

Answers

Answer:

the third one (-2,1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

so solving the first one we get

y=2x+5

and the second one we get

y=5x+10+1

y=5x+11

substiuting we get

2x+5=5x+11

3x=-6

x=-2

and y= 1

so it would be C

if my answer helps please mark as brainliest.

Write an equation that represents the line. Use exact numbers (i will mark you brainliest)✅

Answers

Answer:

y=4/5x-18/5

Step-by-step explanation:

there are multiple ways we can find the slope, let's use two points and the point slope form y=mx+b for this equation. we can find the slope by using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

in this case, we can use the two points (-3,-6), (2,-2)

y2=-2, y1=-6, x2=2, x1=-3

so, the equation is [tex]\frac{-2-(-6)}{2-(-3)}[/tex]

this reduces to 4/5

our slope is 4/5, so the equation for now is y=4/5x+b

let's use (2,-2) to find b. the y is -2, x is 2

-2=4/5(2)+b

-2=8/5+b, multiply both sides by 5:

-10=8+5b, subtract 8 from both sides

-18=5b, divide by 5

-18/5=b

our final equation is y=4/5x-18/5

Find the volume of the composite solid. Round to the nearest tenth.
3 cm
6 cm
2 cm

Answers

Answer:

36 cm

Step-by-step explanation:

3 cm times 6 cm = 18cm

18 cm times the height (2 cm) = 36 cm

So, the answer is 36 cm for the volume.

One of the largest stained glass windows is at
Kennedy International Airport in New York. It
is a rectangle with a height to length ratio of 2
to 25. If the window is 24 feet high, how long
is it?

Answers

Answer:

Its 300 ft my guy

Step-by-step explanation:

If you wanted to shift the graph of y= 4x + 7 down, which equation could you use?

Answers

Answer:

D

Step-by-step explanation:

3. A recipe for banana bread calls for 0.5 cup of vegetable oil. If the baker
wants to make 3 loaves of banana bread, how much vegetable oil is
needed?

Answers

1.5 cups of vegetable oil

Write an equation based on the following table

Answers

The equation is y=3x

How do I find x in this problem?

Answers

Answer:

since it's a 5 sided figure, 540-136-108-140-76 wil lgive you your answer

S=(n-2)180
S=(5-2)180
S=3 x180
S=540

540= x+136+108+140+76
540=x+460
540-460=x
80=x
X=80

WILL GIVE BRILLIANTIEST!
A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows the
results of the vote.
Favor
Oppose
Neutral
Total
33
12
46
91
45
15
36
96
Age
18-25
Age
26-40
Age
40+
Total
10
29
24
63
88
56
106
250
Which correlation does the two-way table suggest?
A Voters age 40 and over are least likely to favor road expansion.
B. The majority of the voters are most likely to favor road expansion
c. Voters between the ages of 26 and 40 are most likely to oppose road expansion
D.
Voters between the ages of 18 and 25 are least likely to favor road expansion

Answers

Answer:

the answer is D because it makes the most sense

Answer:

A.......,..............

5 m
19 m
5 m
4 m
3 m
Find the surface area of the figure above.

Answers

I think the answer is 5700.

because of you multiply the numbers together you'll get the answer.

hope it helps.

have a great day.

I think that the surface area is 622 meters squared

I NEED HELP NOW PLEASE
What is the slope of the line?

Answers

Answer: Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

Step-by-step explanation:

Answer:

slope = [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-3)}{3-(-1)}[/tex] = [tex]\frac{4+3}{3+1}[/tex] = [tex]\frac{7}{4}[/tex]

Please help if you want BRIANLEIST!!

Answers

Answer:

9/9 × 7 is equal to 7

9/9 × 7 =

9/9 × 7/1 =

9 × 7 = 63

9 × 1 = 9

63/9 ÷ 9 = 7

what is .2735 rounded to the tenth, hundredths and thousandth place?

Answers

Answer:

Tenth: .2

Hundredths: .27

Thousandth: .273

Answer:

i fald

Step-by-step explanation:

Which of these sets of ordered pairs are functions?
R={(0, 0), (1, 1), (2, 2)}
S={(0, 1), (1, 2), (2, 3)}
T={(0, 1), (0, 2), (0, 3)}
A. only set S
B. only sets R and S
C. only sets S and T
D. sets R, S, and T

Answers

Uhhhmmmmmmmmmmmmmmmmmmmmmmm

Please, help me!!

My answer is
g: 43
h: 137
m: 49
K: 31

But I'm not sure.

Answers

Answer:

G is correct

H is correct

M is correct

K is 131

Step-by-step explanation:

Angles in a straight line add up to 180 degrees

Answer:

g: 43

h: 137

m: 49

K: 131

Step-by-step explanation:

i got it right

The sales tax for an item was $9.80 and it cost $490 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

2%

Step-by-step explanation:

Divide the tax by the pre-tax price

9.8/490 = .02 or 2%

Which point is on the graph of the equation y=2x-5?


(3,-1)

(2,-1)

(4,2)

(2,-5)​

Answers

Answer:

(2,-1)

Step-by-step explanation:

If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!

john makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showing a calculation.
can u guys plzzzzzzzzzzzz help me

Answers

he’s gotten a 200$ raise

Find the value of x in the diagram below.
A. -8
B. 8
C. 98
D. 172

Answers

x+143=135
x=-8
so it’s a

Using the function s = 13.50 which statement is true

A. The dependent variable is s
B. The dependent variable is h
C. the independent variable is s
D. the independent variable is 13.50

Answers

C. The independent variable is s

Answer:

A the dependent variable is s

Step-by-step explanation:

This is the correct answer from the review page.

Multiply each equation by a constant that would help to eliminate the y terms.

2 x minus 5 y = negative 21. 3 x minus 3 y = negative 18.

What are the resulting equations?

Answers

Answer:

multiply first equation with 3 and second equation with 5

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