The epicenter of an earthquake is the point on Earth's surface directly above the earthquake's origin. A seismograph can be used to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake's epicenter. Find the location of the earthquake's epicenter if it is 2 miles away from A(−2,5)A(−2,5), 4 miles away from B(2,3)B(2,3), and 7 miles away from C(−2,−4)C(−2,−4).
+128460 The easiest way { in my opinion) to do this is with a graph
We want three circles
One with a center of (-2, 5) and a radius of 2
One with a center of (2,3) and a radius of 4
One with a center of (-2, -4) and a radius of 7
See the graph of these here : https://www.desmos.com/calculator/ah1hubg7wr
The point where the three circles intersect is the epicenter
As the graph shows....this point is ( -2,3)
