57.5k views
5 votes
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)

User Rassahah
by
8.5k points

1 Answer

1 vote

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)
\qquad (-3- -6)^2 + (-2- -10)^2 = 3^2+8^2= 73 \qquad nope


B. (-6,-10) to (3, 2)
\qquad (3- -6)^2 + (2- -10)^2 = 9^2+12^2= 225\qquad YES, CHOICE B IS CORRECT


C. (-6,-10) to (2, 3)
\qquad (2- -6)^2 + (3- -10)^2 = 8^2+13^2= 233\qquad nope


D. (-6,-10) to (–2, –3)
\qquad (-2- -6)^2 + (-3- -10)^2 = 4^2+7^2= 65\qquad nope


Choice B.




User HartleySan
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories