Write the standard equation of the circle with the center (-14,-5) that passes through the point (-7,5).

equation: (x + 14)² + (y + 5)² = 149

Given:

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Formula's:

Find the radius:

Equation of circle:

Graph for clarification:

Step-by-step explanation:

Standard equation of a circle:  

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

Now substitute the point (-7, 5) into the equation to find r²:

Final equation:

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answer: the answer is c.

step-by-step explanation:

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