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:

Mesopotamia

An ancient region located in the eastern Mediterranean, known as the "Cradle of Civilization" for its early developments in agriculture, writing, and urbanization.

Adaptive

Having the capacity to adjust to new conditions or environments, or modify oneself to fit changing situations or demands.

Maladaptive

Describes behaviors or traits that are counterproductive to an individual's survival or reproductive success in a given environment.

Adaptive

The ability of an organism to adjust and change in response to environmental factors, ensuring survival and reproduction.