Find the Center and Radius of the Sphere Whose Equation $2 x ^ { 2 } + 2 y ^ { 2 } + 2 z ^ { 2 } - 8 x + 12 y - 12 z + 43 = 0$

question 39

Multiple Choice

Find the center and radius of the sphere whose equation is $2 x ^ { 2 } + 2 y ^ { 2 } + 2 z ^ { 2 } - 8 x + 12 y - 12 z + 43 = 0$ . Round your answer to two decimal places, where applicable.

• A)center: \(( - 2,3 , - 3 )\) ; radius: 0.71
• B)center: \(( 2 , - 3,3 )\) ; radius: 0.71
• C)center: \(( 2 , - 3,3 )\) ; radius: 0.50
• D)center: \(( - 2 , - 3,3 )\) ; radius: 0.71
• E)center: \(( - 2,3 , - 3 )\) ; radius: 0.50

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Definitions:

Slope Coefficient

A parameter in a linear regression model that quantifies the change in the response variable for a one-unit change in the predictor variable.

Sample to Sample

Variation in statistics, refers to the differences observed between various samples drawn from the same population due to randomness.

Scatterplot

A graphical representation that uses dots to represent the values obtained for two different variables, illustrating the possible relationship between them.

Connecting Points

The process or technique of determining a path or drawing a line between multiple points in a space.