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Find the Standard Equation of the Sphere Whose Center Is (6,5,7)( - 6 , - 5,7 )

Question 1

Multiple Choice

Find the standard equation of the sphere whose center is (6,5,7) ( - 6 , - 5,7 ) and whose radius is 4.


A) (x+6) 2+(y+5) 2+(z7) 2=16( x + 6 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 16
B) (x6) 2+(y5) 2+(z+7) 2=16( x - 6 ) ^ { 2 } + ( y - 5 ) ^ { 2 } + ( z + 7 ) ^ { 2 } = 16
C) (x+6) +(y+5) +(z7) =4( x + 6 ) + ( y + 5 ) + ( z - 7 ) = 4
D) (x+6) 2+(y+5) 2+(z7) 2=4( x + 6 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 4
E) (x6) +(y5) +(z+7) =4( x - 6 ) + ( y - 5 ) + ( z + 7 ) = 4

Correct Answer:

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