Which of the following is the equation of a circle with center (5 -2) and a radius of 3

Step-by-step explanation:

The information that we know about the circle is the following:

center of the circle: (5, -2)

radius:

We use the general form for the equation of a circle whose center is at the point :

In this case since the center of our circle is at (5, -2), we conclude that:

and

so we substitute this values, along with the value for the radius:

simplifying the expression we get the equation of the circle:

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d