Find the Center-Radius Form of the Circle Described or Graphed $( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$

question 347

Multiple Choice

Find the center-radius form of the circle described or graphed.
-The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ $( x - 4 ) ^ { 2 } + ( y + 11 ) ^ { 2 } = 100$ . Determine the location of the epicenter.

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

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