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

question 65

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:

Schizophrenia

A chronic and severe mental disorder affecting how a person thinks, feels, and behaves, often characterized by hallucinations, delusions, and disordered thinking.

Paranoia

A mental condition characterized by delusions of persecution, unwarranted jealousy, or exaggerated self-importance.

Schizophrenia

A mental disorder characterized by disturbances in thought, perception, and behavior, affecting how a person feels, thinks, and behaves.

Psychoeducational

Pertaining to the educational and psychological interventions designed to teach individuals about their conditions and how to manage them.