Answer:
10 (Answer D)
Step-by-step explanation:
Here we see that the x-coordinate changes by 6, from 3 to 9, and that the y coordinate changes by 8, from 5 to -3.
We use the Pythagorean Theorem to calculate the distance between these two points. One leg of a triangle here has length 6 and the other leg has length 8. Applying this Theorem, we get:
6^2 + 8^2 = [ distance between (3, 5) and (9, -3) ]^2 = d^2, and so:
d^2 = 36 + 64 = 100.
This distance must be positive. Thus we take the positive square root of 100, which is 10. 10 is the distance between these two points.
