Question

20 POINTS and it has to be correct. This depends on if I pass or fail

Use the information provided to write the equation for a circle

Center: (-8, 14)
Radius: 4.3589

Answer 1

(x + 8)² + (y - 14)² = 19

Explanation:

(x - h)² + (y - k)² = r²

(x - -8)² + (y - 14)² = 4.3589²

(x + 8)² + (y - 14)² = 19

Answer 2

`(x+8)^(2)+(y-14)^(2)=19`

Explanation:

The equation of a circle is:
`(x-x_1)^(2)+(y-y_1)^(2)=r^2` , where x_1 is the x coordinate of the center, y_1 is the y coordinate of the center, and r is the radius.

In this case, x_1 = -8, y_1 = 14, and r = 4.3589. Plugging these into the equation, we get:

`(x+8)^(2)+(y-14)^(2)=4.3589^2`

If you want, you can round 4.3589^2 to 19.

Then, the answer would be:
`(x+8)^(2)+(y-14)^(2)=19` .

Hope this helps!