Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P′Q′R′ has vertices P′(1, 0), Q′(0, −1), and R′(−2, −1). Plot triangles PQR and P′Q′R′ on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer

Scale factor is .

Step-by-step explanation:

Given the coordinates of as:

And the coordinates of as:

To find:

The scaling factor of the dilation to transform the to .

Solution:

First of all, let us find the distance between the vertices i.e. the sides of the triangle.

Distance formula:

Where are the coordinates of two points between which the distance is to be calculated.

Now, let us find the sides of the :

We can clearly see that, the sides of are four times the corresponding sides of .

Therefore, the scaling factor is .

Please refer to the attache image in the answer area.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175