Find the Center and Radius of the Sphere $$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 16 x + 6 y + 6 z + 18 = 0$$

question 20

Multiple Choice

Find the center and radius of the sphere.
$$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 16 x + 6 y + 6 z + 18 = 0$$

• A) center: \(( - 8,3,3 )\); radius: 8
• B) center: \(( 8 , - 3 , - 3 )\); radius: 8
• C) center: \(( 8,3,3 )\); radius: 8
• D) center: \(( - 8,3,3 )\); radius: 64
• E) center: \(( 8 , - 3 , - 3 )\); radius: 64

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Definitions:

Lactic Acid

A substance produced in the muscles during intense exercise, often associated with muscle fatigue and soreness.

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration. It is naturally present in air and is absorbed by plants in photosynthesis.

Glycolysis

A metabolic process that breaks down glucose to produce energy, happening in the cytoplasm of cells.

Hydrolysis

A chemical reaction in which water is used to break bonds in molecules, such as the digestion of nutrients.