Question

HELP NEEDED: Will mark Brainliest to best answer!! The center of a dilation is (0,0) and the scale factor is 7. If A(3,4), then which is the distance between A and A prime? A. 5 B. 7 C. 30 D. 35

Answer 1

Answer:

C. 30

Step-by-step explanation:

Distance formula - $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

The scale factor of 7 is basically saying that the coordinates (3,4) are going to be increased 7 times.

3•7 = 21=x         --> A prime = (21,28)

4•7 = 28=y

$\sqrt{(21-3)^2+(28-4)^2}$

= $\sqrt{324+676}$

= $\sqrt{900}$

= 30