Which point is a distance of 15 units from the point (–6, –10)?
a. (–3, –2)
b. (3, 2)
c. (2, 3)
d. (–2, –3)

Getting good at Cartesian geometry generally means learning how to avoid the square roots which are a pain.

We seek the points that are 15 units from (-6,-10)

Those are the points that are a squared distance of 15×15=225.

The Pythagorean Theorem applied to the Cartesian grid gives up the squared distances:

A. (-6,-10) to (–3, –2) nope

B. (-6,-10) to (3, 2) YES, CHOICE B IS CORRECT

C. (-6,-10) to (2, 3) nope

D. (-6,-10) to (–2, –3) nope

Choice B.

step-by-step explanation:

ask goog great chance of finding the solution there