The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 4 , ( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4 , ( x - 1 ) ^ { 2 } + ( y + 13 ) ^ { 2 } = 100$. Determine the location of the epicenter.
A) at $( - 4 , - 6 )$
B) at $( - 4 , - 5 )$
C) at $( - 6 , - 3 )$
D) at $( - 5 , - 5 )$

Question

Quizplus · Accepted Answer

The Answer of The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 4 , ( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4 , ( x - 1 ) ^ { 2 } + ( y + 13 ) ^ { 2 } = 100$. Determine the location of the epicenter.
A) at $( - 4 , - 6 )$
B) at $( - 4 , - 5 )$
C) at $( - 6 , - 3 )$
D) at $( - 5 , - 5 )$

The Locations of Three Receiving Stations and the Distances to the Epicenter