Find the Center and the Radius of the Sphere That $$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 8 y = 0$$

question 87

Multiple Choice

Find the center and the radius of the sphere that has the given equation. Select the correct answer.
$$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 8 y = 0$$

• A) \(( 2 , - 4,0 ) , 2 \sqrt { 5 }\)
• B) \( ( - 2,4,0 ) , 20\)
• C) \(( - 2,4,0 ) , 2 \sqrt { 5 }\)
• D) \(( 2 , - 4,0 ) , 20\)

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Definitions:

Nonlinear Relationship

A nonlinear relationship exists when changes in the independent variable do not lead to proportional changes in the dependent variable.

Predict

To make an educated guess about the future based on current data or trends.

Strength

Refers to the magnitude or intensity of a relationship between variables in a study.

One-Tailed

One-tailed tests in statistics specify a direction of the hypothesis, predicting either a positive or negative change but not both.