Question 739442: Hello, i'm not sure if this is the correct topic for the question, but it seemed most fitting (sorry!)
I'm homeschooled and struggling with this algebra 2 chapter and could use some help getting the answer and maybe an explanation
1) Write an equation of the circle with center (-2, -3) and radius 8.
Answer by Ed McCravy(3)   (Show Source):
You can put this solution on YOUR website!
I can understand homeschooling in the early grades, because most
parents know the basic 3 R's, but when the kids have to learn
stuff the parents cannot help them with, then it's time to go
to public or private school. That's my personal philosophy and
does not necessarily represent the philosophy of anybody else
on this site.
Anyway:
You have to memorize the standard equation for a circle.
It is
(x - h)² + (y - k)² = r²
where
"h" is the x-coordinate of the center. In your case that's -2.
So we substitute -2 for h.
"k" is the y-coordinate of the center. In your case that's -3.
So we substitute -3 for k.
"r" is the length of the radius. In your case that's 8.
So we substitute 8 for r.
(x - h)² + (y - k)² = r²
(x - (-2))² + (y - (-3))² = (8)²
(x + 2)² + (y + 3)² = 64
We don't substitute anything for x and y. We leave them
variable:
Edwin
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