we can see that the center is (-3, 3) and the radius is 9 units.
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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:
Step-by-step explanation:
if he runs 9 miles a day for 30 days thats 9x30 its pretty simple math all you have to do is multiply it should be 270 miles in total. np abt the spammage
X-30+x-30+x=180
3x-60=180
3x=240
X=80
Q1: y = -3/2x +1
Q2: The graph changes vertically from -1 to 3 (4 units) at the same time it changes horizontally from -4 to 1/2 (4.5 units). The rate of change is 4/4.5 = 8/9 ≈ 0.8889. The closest answer selection is 9/10.
Q3: x=-2
Q4: The graph changes vertically by -4 at the same time it changes horizontally by +1. The slope is 4/-1 = -4. The y-intercept is +1, so the equation is
.. y = -4x +1
Q5: After the same pattern as above,
.. y = 5/2*x +5
