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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).

 May 1, 2020
 #1
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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)

 

 

cool cool cool

 May 1, 2020
 #2
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omg thank you so much :) 

Guest May 1, 2020

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