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:
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Answer:
t = 9 s
Step-by-step explanation:
A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where
We need to find when the stone will hit the ground. It means when s(t) = 0. So,
So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.
Answer:its easy it the first one you had posted
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
20% = 0.2
80 x 0.2 = 16
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11^9 -11^8 + 11^7 = 2163075981
2163075981/3 = 721025327
2163075981/37 = 58461513
Yes it is divisible by both 3 and 37