An ellipse (oval shape) is expressed by the following equation:
![\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D%20%2B%20%5Cfrac%7B%28y-k%29%5E2%7D%7Bb%5E2%7D%3D1%20)
where h is the x coordinate of the center and k is the y coordinate of the center. Furthermore, a is the horizontal distance from the center, and b is the vertical distance from the center. Lastly, c is the distance from the center to one of the foci (they are spaced apart equally).
We can find the foci by using
![a^2 - b^2 = c^2](https://tex.z-dn.net/?f=a%5E2%20-%20b%5E2%20%3D%20c%5E2)
36 - 11 =
![c^2](https://tex.z-dn.net/?f=c%5E2)
![c = \sqrt{25} = 5](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B25%7D%20%20%3D%205)
Since the k value in this case is 0, the y value of both foci are 0. Also, since h and k are both 0, we know the center of the ellipse is at the origin.
So the foci are (-5, 0) and (5, 0)
Hope this helps :)
X^2+4x+4 and there is no remainder
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It is 1, 2, 3, or 4
Step-by-step explanation:
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Help with what
Step-by-step explanation: