The equation of the horizontal ellipse is ![\frac{x^2}{144}+\frac{y^2}{100}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B144%7D%2B%5Cfrac%7By%5E2%7D%7B100%7D%3D1)
Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The standard form of an ellipse with horizontal major axis is:
![\frac{x^2}{a^2}+\frac{y^2}{b^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%2B%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%3D1)
Where a > b
since a = 12, b = 10, hence:
![\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B12%5E2%7D%2B%5Cfrac%7By%5E2%7D%7B10%5E2%7D%3D1%5C%5C%5C%5C%5Cfrac%7Bx%5E2%7D%7B144%7D%2B%5Cfrac%7By%5E2%7D%7B100%7D%3D1)
The equation of the horizontal ellipse is ![\frac{x^2}{144}+\frac{y^2}{100}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B144%7D%2B%5Cfrac%7By%5E2%7D%7B100%7D%3D1)
Find out more on ellipse at: brainly.com/question/19507943
10x-20+6x+8=180
16x-12=180
16x=168
x=168/16
Answer:
its 44
Step-by-step explanation:
180=46+90+x
180=136+x
44=x