Complete the square to rewrite the following equation. identify the center and radius of the circle. you must show all work and

Question

2 years ago

7

calculations to receive credit. x2 + 4x + y2 − 6y = −4

1 answer:

insens350 [35] · Answer 1 · 2023-03-24T03:12:38+03:00

The center of the circle is the point (-2, 3) and the radius is 3 units.

<h3>How to identify the center and radius?</h3>

Here we have the equation:

$x^2 + 4x + y^2 -6y = -4$

We can rewrite it as:

$x^2 + 2*2x + y^2 - 2*3y = -4$

Now, we can add and subtract 4 and add and subtract 9, so we get:

$x^2 + 2*2x + y^2 - 2*3y +4 - 4 + 9 - 9= -4\\\\(x^2 + 2*2*x + 4) + (y^2 - 2*3*y + 9) - 4 - 9 = -4\\\\(x + 2)^2 + (y- 3)^2 = 9 = 3^2$

So the center of the circle is the point (-2, 3) and the radius is 3 units.

If you want to learn more about circles:

#SPJ1