Answer:
The equation of a circle is
.
Step-by-step explanation:
-The equation of a circle is:
(where center is
, the point
and the radius known as
).
-Use the center (5,-4) and the point (5,-2) for the equation:
![(5-5)^2+(-2+4)^2=r^2](https://tex.z-dn.net/?f=%285-5%29%5E2%2B%28-2%2B4%29%5E2%3Dr%5E2)
-Solve the equation:
![(5-5)^2+(-2+4)^2=r^2](https://tex.z-dn.net/?f=%285-5%29%5E2%2B%28-2%2B4%29%5E2%3Dr%5E2)
![0 + (-2)^2=r^2](https://tex.z-dn.net/?f=0%20%2B%20%28-2%29%5E2%3Dr%5E2)
![4 = r^2](https://tex.z-dn.net/?f=4%20%3D%20r%5E2)
![\sqrt{4} = \sqrt{r^2}](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D%20%3D%20%5Csqrt%7Br%5E2%7D)
![2 = r](https://tex.z-dn.net/?f=2%20%3D%20r)
-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:
![(x-5)^2+(y+4)^2=2^2](https://tex.z-dn.net/?f=%28x-5%29%5E2%2B%28y%2B4%29%5E2%3D2%5E2)
-Then, after you have the equation, the radius needs to simplified by the exponent:
![(x-5)^2+(y+4)^2=4](https://tex.z-dn.net/?f=%28x-5%29%5E2%2B%28y%2B4%29%5E2%3D4)
The equation connecting C,A and n is C = 25A - ![\frac{49990000}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B49990000%7D%7Bn%7D)
<h3>What is variation?</h3>
Variation is a mathematical term used to show how a quantity behaves when one quantity increases or decreases.
Analysis:
C = AK + M/n
where K and M are constants
when n = 1000, A = 5000, C = 75010
75010 = 5000K + M/1000-----------1
50004 = 10000k + M/200-------------2
solving simultaneously, K = 25, M = -49990000
C = 25A - 49990000/n
In conclusion, the equation connecting C,A and n is C = 25A - 49990000/n
Learn more about variation: brainly.com/question/6499629
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The triangles are similar because they are the same shape. :) Good luck