Find the Equation of the Circle with a Radius of 9

question 66

Multiple Choice

Find the equation of the circle with a radius of 9 and its center at the intersection of $3 x + y = 5$ and $2 x -$ $3 y = - 4$ .

• A) \(( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 9\)
• B) \(\quad ( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 81\)
• C) \(( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 9\)
• D) \(\quad ( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 81\)
• E) \(\quad ( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 81\)

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Definitions:

Independent Variable

The variable in an experiment that is manipulated or changed by the researcher to observe its effect on the dependent variable.

Confounding Variables

External factors that can affect the outcome of an experiment, introducing errors by influencing the dependent variable alongside or instead of the independent variable.

Random Assignment

A method used in experiments to ensure that every participant has an equal chance of being assigned to any given group, helping to control for confounding variables.

Alcohol Consumption

Alcohol Consumption pertains to the intake of alcoholic beverages by individuals, which can have various social, cultural, and health implications.