The equation of a circle centered at (h, k) and with radius r is
![(x - h)^2 + (y - k)^2 = r^2](https://tex.z-dn.net/?f=%20%28x%20-%20h%29%5E2%20%2B%20%28y%20-%20k%29%5E2%20%3D%20r%5E2%20)
In this case, the center is point (2, 1), so h = 2, and k = 1.
We also need the radius. We are not given the radius, but we have the center and a point on the circle. The distance between the center and any point on the circle is the radius. We can use the distance formula to find the distance between points (2, 1) and (5, 2).
![d = \sqrt{(x_2 - x_1)^2 + (x_2 - x_1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28x_2%20-%20x_1%29%5E2%7D%20)
![d = \sqrt{(5 - 2)^2 + (2 - 1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%285%20-%202%29%5E2%20%2B%20%282%20-%201%29%5E2%7D%20)
![d = \sqrt{3^2 + 1^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B3%5E2%20%2B%201%5E2%7D%20)
![d = \sqrt{9 + 1}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B9%20%2B%201%7D%20)
![d = \sqrt{10}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B10%7D%20)
The radius is the distance between the points, so ![r = \sqrt{10}](https://tex.z-dn.net/?f=%20r%20%3D%20%5Csqrt%7B10%7D%20)
Now we have all the information we need, so we can write the equation of the circle.
![(x - 2)^2 + (y - 1)^2 = \sqrt{10^2](https://tex.z-dn.net/?f=%20%28x%20-%202%29%5E2%20%2B%20%28y%20-%201%29%5E2%20%3D%20%5Csqrt%7B10%5E2%20)
![(x - 2)^2 + (y - 1)^2 = 10](https://tex.z-dn.net/?f=%20%28x%20-%202%29%5E2%20%2B%20%28y%20-%201%29%5E2%20%3D%2010%20)
Answer: ![(x - 2)^2 + (y - 1)^2 = 10](https://tex.z-dn.net/?f=%20%28x%20-%202%29%5E2%20%2B%20%28y%20-%201%29%5E2%20%3D%2010%20)
Answer:
im pretty sure it's D
Step-by-step explanation:
Answer
Step by step explanation
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The answer is A.
If you divide 4 into all of the answers the only answer that will give you a whole number is 36. example 36/4 = 9
Answer:
$4793.12
Step-by-step explanation:
The first step in working out the amount after 15 years is to convert the percentage of 6% to a decimal. You can do this by dividing 6 by 100, this gives you 0.06. This is because a percentage is out of 100.
The next step is to add 1 to the value of 0.06, this gives you 1.06. You would add 1 as you are working out a percentage increase.
The final step is to multiply the amount of $2000 by the value of 1.06 to the power of 15, this gives you 4793.12 (rounded to 2 decimal places). This is because we are working out the percentage of $2000 and then adding that on to be recaluclated with the new amount.
1) Divide 6 by 100.
![6/100=0.06](https://tex.z-dn.net/?f=6%2F100%3D0.06)
2) Add 1 to 0.06.
![1+0.06=1.06](https://tex.z-dn.net/?f=1%2B0.06%3D1.06)
3) Multiply 2000 by 1.06 to the power of 15.
![2000*1.06^{15}=4793.12](https://tex.z-dn.net/?f=2000%2A1.06%5E%7B15%7D%3D4793.12)