I think Jordan would be 16 and Kevin would be 8. Sorry if this is wrong...
Step-by-step explanation:
![\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x%20-%202%29%20%7B%7D%5E%7B2%7D%20%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%28y%20%2B%205%29%20%7B%7D%5E%7B2%7D%20%7D%7B9%7D%20%20%3D%201)
This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)
![{c}^{2} = {a}^{2} - {b}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20)
Here a^2 is 9, b^2 is 4.
![{c}^{2} = 9 - 4](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%209%20-%204)
![{c}^{2} = 5](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%205)
![c = \sqrt{5}](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B5%7D%20)
So our foci is
![(2, - 5 + \sqrt{5} )](https://tex.z-dn.net/?f=%282%2C%20-%205%20%2B%20%20%5Csqrt%7B5%7D%20%29)
and
![(2, - 5 - \sqrt{5} )](https://tex.z-dn.net/?f=%282%2C%20-%205%20-%20%20%5Csqrt%7B5%7D%20%29)
Just divide 5/4 = 1.25. Thank you.
Answer:
17
Step-by-step explanation:
Answer:
b
Step-by-step explanation: