Complete the Square and Write the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } - 18 x + 2 y + 82 = 4$$

question 80

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } - 18 x + 2 y + 82 = 4$$

• A) \(( x - 9 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4\)
• \(( 9 , - 1 ) , r = 2\)
• B) \(( x + 1 ) ^ { 2 } + ( y - 9 ) ^ { 2 } = 4\)
• \(( - 1,9 ) , r = 2\)
• C) \(( x - 9 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4\)
• \(( - 9,1 ) , r = 4\)
• D) \(( x + 1 ) ^ { 2 } + ( y - 9 ) ^ { 2 } = 4\)
• \(( 1 , - 9 ) , \mathrm { r } = 4\)

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Definitions:

Reason

The capacity of the human mind to analyze, assess, and form judgments through logical thinking.

Sisyphus

A figure from Greek mythology who was condemned to repeatedly roll a huge boulder up a hill, only for it to roll back down, symbolizing eternal struggle.

Sigmund Freud

An Austrian neurologist and the founder of psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Unconscious

The part of the mind that is inaccessible to the conscious mind but that affects behavior and emotions.