Use the Given Information About a Circle to Write an Equation

question 323

Multiple Choice

Use the given information about a circle to write an equation of the circle in standard form.
-The center is $( 4 , - 1 )$ and the circle is tangent to the $x$ -axis.

• A) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 16\)
• B) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1\)
• C) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1\)
• D) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16\)

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Definitions:

Abraham Maslow

A psychologist best known for creating Maslow's hierarchy of needs, a theory of psychological health predicated on fulfilling innate human needs in priority, leading to self-actualization.

Unconscious

The part of the mind that contains thoughts, memories, and desires not within the realm of conscious awareness.

Conscious

The state of being aware of and able to think about one's own existence, sensations, thoughts, surroundings, etc.

Personality

The combination of characteristics or qualities that form an individual's distinctive character, influencing behaviors, thoughts, and emotions.