Answer:
Step-by-step explanation:
(x²-6x)+(y²+8y)=-21
(x²-6x+9)+(y²+8y+16)=-21+9+16
(x-3)²+(y+4)²=4
center=(3,-4),radius=√4=2
Answer:
n = - 12
Step-by-step explanation:
n + 6 = 2n/4
4 (n+6) = 2n
4n + 24 = 2n
4n - 2n = - 24
2n = -24
n = - 24/2
n = - 12
Answer:

Step-by-step explanation:
Prime factorize 20 and 45



Answer:

And solving we got:

If we subtract 100 from both sides we got:



Step-by-step explanation:
For this case we have the following equation given:

We want to find a general expression given by:

Where the center is (h.k) and the radius is r.
We can begin completing the squares of the equation given and we got:

And solving we got:

If we subtract 100 from both sides we got:

Then we can conclude that the center is:

And the radius would be:
