The equation of any circle is
(x - a)^2 + (y - b)^2 = radius^2 where our center is (a, b)
Therefore, our equation is as follows.
(x + 2)^2 + (y - 3)^2 = 16
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![2x + 9 = 5x](https://tex.z-dn.net/?f=2x%20%2B%209%20%3D%205x)
![5x = 2x + 9](https://tex.z-dn.net/?f=5x%20%3D%202x%20%2B%209)
Subtract sides 2x
![- 2x + 5x = - 2x + 2x + 9](https://tex.z-dn.net/?f=%20-%202x%20%2B%205x%20%3D%20-%202x%20%20%2B%202x%20%2B%209)
![3x = 9](https://tex.z-dn.net/?f=3x%20%3D%209)
Divide sides by 3
![\frac{3x}{3} = \frac{9}{3} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B3%7D%20%20%5C%5C%20)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
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CHECK :
![2x + 9 = 5x](https://tex.z-dn.net/?f=2x%20%2B%209%20%3D%205x)
![2(3) + 9 = 5(3)](https://tex.z-dn.net/?f=2%283%29%20%2B%209%20%3D%205%283%29)
![6 + 9 = 15](https://tex.z-dn.net/?f=6%20%2B%209%20%3D%2015)
![15 = 15](https://tex.z-dn.net/?f=15%20%3D%2015)
So the value is correct.
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Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
Answer:
D. -x2 + 2x -3
Step-by-step explanation:
the first step is we open all the brackets then it will be :
x2 - 3x - 2x2 + 5x - 3
= x2 - 2x2 - 3x + 5x - 3
= -x2 + 2x -3
Answer:
y=log3(9x)
3^y = 9x
Step-by-step explanation: