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 + + (y + =

Step-by-step explanation:

The standard of equation of a circumference has the form:

Where the point (a,b) is the center of the circumference and r is the radius.

You know the center of the circumference: (5,-4).

Substitute this point into the equation of the circumference:

a=5 and b=-4

Then:

Now you need to find the radius. Substitute the point (-3,2) into the circumference and solve for r:

The equation of this circumference is:

Or type

(x + _-5__)^2 + (y + _4__)^2 = _100__.

Step-by-step explanation:

First find the radius of the circle using the distance formula;

Substitute the points to get;

r=10 units

We now substitute the center (h,k)=(5,-4) and r=10 into the standard equation of the circle;

360 different combinations

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step-by-step explanation: