Find the center-radius form of the circle described or graphed.
-Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (0, 7), (-12, 15), and (-8, -9) respectively. The epicenter of an earthquake is determined to be 5 units from
X, 15 units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located?
A) at (-3, 3)
B) at (-2, 2)
C) at (-2, 3)
D) at (-4, 5)

Question

Quizplus · Accepted Answer

The epicenter is equidistant from the given points, satisfying the distance conditions from X, Y, and Z. The point (-3, 3) is 5 units from X, 15 units from Y, and 13 units from Z, meeting all the conditions.

Find the Center-Radius Form of the Circle Described or Graphed