Write the Standard Form of the Equation of the Circle $( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 8$

question 14

Multiple Choice

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3,4) , (7,8)

• A) \(( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 8\)
• B) \(( x - 6 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 8\)
• C) \(( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 8\)
• D) \(( x + 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 340\)
• E) \(( x - 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 340\)

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Definitions:

Mental Associate

A cognitive process that connects ideas, feelings, or memories with one another in the mind.

Implicit Association Test

A psychological assessment designed to detect the strength of a person's automatic association between mental representations of objects in memory.

Cognitive Associations

The connections formed in the mind between ideas, feelings, or memories, influencing how thoughts and behaviors are organized.

Conscious Awareness

The state or quality of being aware of an external object or something within oneself, marked by perception and recognition of one's thoughts, feelings, and environment.