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

question 29

Multiple Choice

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

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

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