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

Multiple Choice

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 $( - 5 , - 5 )$