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Find the Center-Radius Form of the Circle Described or Graphed (x+2)2+(y1)2=16,(x+7)2+(y+3)2=25( 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+(y1) 2=16,(x+7) 2+(y+3) 2=25( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16 , ( x + 7 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25 (x4) 2+(y+11) 2=100( x - 4 ) ^ { 2 } + ( y + 11 ) ^ { 2 } = 100 . Determine the location of the epicenter.


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

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