"complete the square" to convert the equation of each circle to graphing form. identify the center and the radius.

x² + 6x + y2 – 4y= -9

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

Comparing to:

The center is (-3,2) and the radius is r=2

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula