Question

The University of Southern California is located about 2.5 miles west and about 2.8 miles south of downtown Los Angeles. Suppose an earthquake occurs with its epicenter about 40 miles from the university. Assume that the origin of a coordinate plane is located at the center of downtown Los Angeles. Write an equation for the set of points that could be the epicenter of the earthquake.

Answer 1

O.O Let me see if I can get help on this one.

Answer 2

@HelpBlahBlahBlah

Answer 3

Downtown L.A. is located at point (0, 0)

USC is located at point (−2.5, −2.8)

Epicentre is 40 miles from USC

Set of points that could be epicentre of the earthquake are located along a circle of radius 40, with centre (−2.5, −2.8)

(x + 2.5)² + (y + 2.8)² = 40²

Answer 4

thanks!

Answer 5

no problem :)