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:

Generate a Hypothesis

The process of formulating a testable statement or prediction based on observations and theoretical insights.

Draw Conclusions

The process of analyzing the results of a study or data to form a judgment or insight about the hypothesis or research question.

Self-Reports

A research or assessment method where individuals provide data about themselves, usually through questionnaires or interviews, which can include personal feelings, thoughts, behaviors, or experiences.

Psychopathology

The study of mental disorders, including their symptoms, etiology (causes), and treatment, focusing on the maladaptive behavior of individuals.