Answer:
See explanation
Step-by-step explanation:
Hello, we cannot see the ellipse equations.
The eccentric of an ellipse is given by:
![e = \frac{c}{a}](https://tex.z-dn.net/?f=e%20%3D%20%20%5Cfrac%7Bc%7D%7Ba%7D%20)
Assuming the equations are:
![\frac{ {x}^{2} }{25} + \frac{ {y}^{2} }{16} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B25%7D%20%20%2B%20%20%5Cfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B16%7D%20%20%3D%201)
Then a²=25 and b²=16
![{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)
![{c}^{2} = 25 - 16](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%2025%20-%2016)
![{c}^{2} = {3}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7B3%7D%5E%7B2%7D%20)
![c = 3](https://tex.z-dn.net/?f=c%20%3D%203)
The eccentricity is:
![e = \frac{3}{5} = 0.6](https://tex.z-dn.net/?f=e%20%3D%20%20%5Cfrac%7B3%7D%7B5%7D%20%20%3D%200.6)
If the ellipse has equation,
![\frac{ {x}^{2} }{ {5}^{2} } + \frac{ {y}^{2} }{ {3}^{2} } = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7B5%7D%5E%7B2%7D%20%7D%20%20%2B%20%20%5Cfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%3D%201)
then the this time, we have a=5 and b=3.
This means that:
![{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)
![{c}^{2} = {5}^{2} - {3}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7B5%7D%5E%7B2%7D%20%20-%20%20%7B3%7D%5E%7B2%7D%20)
![{c}^{2} = {4}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7B4%7D%5E%7B2%7D%20)
![c = 4](https://tex.z-dn.net/?f=c%20%3D%204)
![c = \frac{4}{5} = 0.8](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20%20%3D%200.8)
The area of triangle ABC with vertices is 22 square units
<h3>How to find the area of ABC with
vertices?</h3>
The vertices are given as:
A(4, -3) B(9,-3) , and C(10, −11)
The area of the triangle is calculated using
Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
This gives
Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|
Evaluate the sum of products
Area = 0.5 * |44|
Remove the absolute bracket
Area = 0.5 * 44
Evaluate
Area = 22
Hence, the area of ABC with vertices is 22 square units
Read more about areas at:
brainly.com/question/22972014
#SPJ1
It is t divided by r equals 2s
answer is side AB
I'm not 100% sure, just a guess
I hope it helps tho