Answer:
D - 33.75
Step-by-step explanation:
If the rectangles are similar, then you can use this cheat:
Width:
9/4 = 2.25
2.25 is the scale factor between the two rectangles.
Using the new-found scale factor, you can do this:
15 x 2.25 = 33.75
This means the length on the second rectangle is 33.75 inches long.
Hoping this helps you! :)
Solution: The dilation of gk by a scale factor of 2 centered at (-2,-4) is
and
.
Explanation:
It is given that the scale factor is 2 and center of dilation is (-2,-4).
If the center of dilation is (a,b) with scale factor k, then the dilation of a point P(x,y) is determined by the given formula.
.....(1)
To find the g' substitute x=0, y=0, a=-2, b=-4 and k=2 in equation (1).

To find the k' substitute x=4, y=4, a=-2, b=-4 and k=2 in equation (1).

Therefore, the dilation of gk by a scale factor of 2 centered at (-2,-4) is
and
.
I can't see paper. Maybe try to take a picture closer and more bright and clear.