we can see that the center is (-3, 3) and the radius is 9 units.
<h3 /><h3>
How to find the center and radius of the circle?</h3>
The general circle equation, for a circle with a center (a, b) and radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we have the equation:
x^2 + y^2 + 6x = 6y + 63
Let's complete squares:
x^2 + y^2 + 6x - 6y = 63
(x^2 + 6x) + (y^2 - 6y) = 63
(x^2 + 2*3x) + (y^2 - 2*3y) = 63
Now we can add and subtract 9, (two times) so we get:
(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63
(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2
(x + 3)^2 + (y - 3)^2 = 9^2
Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.
If you want to learn more about circles:
brainly.com/question/1559324
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Answer:
<h2>Hi there !</h2>
![y = \sqrt[2]{x}+2 \: will \: pass \: through \: (0 \:, 2) \: and \: ( - 8 \:, 0)](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B2%5D%7Bx%7D%2B2%20%5C%3A%20will%20%5C%3A%20pass%20%5C%3A%20through%20%5C%3A%20%280%20%5C%3A%2C%202%29%20%5C%3A%20and%20%5C%3A%20%28%20-%208%20%5C%3A%2C%200%29)
Step-by-step explanation:
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Thank you
Answer:
1 3/8.
Step-by-step explanation:
3 1/4 - 1 7/8
First convert to improper fractions:
3 1/4 = (3*4) + 1 / 4 = 13/4.
1 7/8 = (1 *8)+7 / 8 = 15/8. So we have:
13/4 - 15/8
The Lowest Common Multiple of 4 and 8 is 8 so we convert 13/4 to eighth's
13 / 4 = 13*2 / 4 *2 = 26/8
Finally: we have
26/8 - 15/8 = (26 - 15) /8
= 11 /8
= 1 3/8 (answer)
Answer:
Explanation:
First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11
Plug x value in x^3 + 1/x^3
(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332
Therefore, x^3 + 1/x^3 = 1332
Okay one moment i will have the answer soon...
