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) [tex] \qquad (-3- -6)^2 + (-2- -10)^2 = 3^2+8^2=
73 \qquad[/tex] nope
B. (-6,-10) to (3, 2)
[tex] \qquad (3- -6)^2 + (2- -10)^2 = 9^2+12^2=
225\qquad[/tex] YES, CHOICE B IS CORRECT
C. (-6,-10) to (2, 3)
[tex] \qquad (2- -6)^2 + (3- -10)^2 = 8^2+13^2=
233\qquad[/tex] nope
D. (-6,-10) to (–2, –3)
[tex] \qquad (-2- -6)^2 + (-3- -10)^2 = 4^2+7^2=
65\qquad[/tex] nope
Choice B.
