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Solve the Problem (x+2)2+(y8)2=16,(x+7)2+(y4)2=25( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25

Question 100

Multiple Choice

Solve the problem.
-The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: (x+2) 2+(y8) 2=16,(x+7) 2+(y4) 2=25( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25 , (x4) 2+(y+4) 2=100( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100 . Determine the location of the epicenter.


A) at (3,6) ( - 3,6 )
B) at (1,3) ( - 1,3 )
C) at (1,4) ( - 1,4 )
D) at (2,4) ( - 2,4 )

Correct Answer:

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