Type the correct answer in each box. a circle is centered at the point (5, -4) and passes through the point (-3, 2). the equation of this circle is (x + )2 + (y + )2 = .

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is

Equation of a circle with center and radius 'r' is given as:

Here,

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

Using distance formula for the points (5, -4) and (-3, 2), we get

Therefore, the equation of the circle is:

Now, rewriting it in the form asked in the question, we get

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step-by-step explanation:

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