Answer:
(x-5)^2+(y+4)^2=100
Step-by-step explanation:
As we know the given points
Center = (5, -4)
and
Point on circle = (-3,2)
The distance between point on circle and center will give us the radius of circle
So,
The formula for distance is:
![\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%20%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5CTaking%5C%20center%5C%20as%5C%20point%5C%201%5C%20and%5C%20the%5C%20other%5C%20point%5C%20as%5C%20point%5C%202%5C%5Cd%3D%5Csqrt%7B%28-3-5%29%5E%7B2%7D%2B%282-%28-4%29%29%5E%7B2%7D%7D%5C%5Cd%3D%5Csqrt%7B%28-8%29%5E%7B2%7D%2B%282%2B4%29%5E%7B2%7D%7D%5C%5Cd%3D%5Csqrt%7B%28-8%29%5E%7B2%7D%2B%286%29%5E%7B2%7D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B64%2B36%7D%5C%5Cd%3D%5Csqrt%7B100%7D%20%5C%5C%20d%3D10%5C%5CSo%5C%20the%5C%20radius%5C%20is%5C%2010)
The standard form of equation of circle is:
![(x-h)^{2}+(y-k)^{2}=r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%2B%28y-k%29%5E%7B2%7D%3Dr%5E%7B2%7D)
where h and k are the coordinates of the center. So putting in the value:
![(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%2B%28y-%28-4%29%29%5E%7B2%7D%3D%2810%29%5E%7B2%7D%5C%5C%28x-5%29%5E%7B2%7D%2B%28y%2B4%29%5E%7B2%7D%3D100)
Is the greatest factor that two or more numbers have in common. One way to find the GCF is to make lists of the factors for two numbers and then choose the greatest factor that the two factors have in common.
Answer:
x = -1
y = 9
Step-by-step explanation:
jggchgcjgjcgjcgjcgjcgjcgjcgjc
Answer:
B 1/2
Step-by-step explanation:
The probability of rolling an even number on a fair, six-sided die is 3/6 = 1/2, which results from three of the six possibilities of {1, 2, 3, 4, 5, 6} being even numbers.
3857/10000 I can’t simply. But that’s what Siri gave me