An equavalent ratio of 12\24 is 3\4
The general equation of an ellipse in which case it is not centered at the origin and it is tilted is; (x-h)²/a² + (y-k)²/b² = 1.
<h3>What is the general equation of a tilted ellipses not centered at the origin?</h3>
It follows from the task content that the plane shape in discuss is an ellipse which is described by the characteristics that it is tilted and not centered at the origin.
It follows from convention that the general equation of such an ellipse is;
(x-h)²/a² + (y-k)²/b² = 1.
In which case, such an ellipse has center given as point; (h, k).
Read more on ellipse;
brainly.com/question/16904744
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Answer:
![\boxed{\boxed{\sf x=84}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Csf%20x%3D84%7D%7D)
Step-by-step explanation:
![\sf \cfrac{x}{6} +2=16](https://tex.z-dn.net/?f=%5Csf%20%5Ccfrac%7Bx%7D%7B6%7D%20%2B2%3D16)
<u>Multiply both sides of the equation by 6:</u>
![\sf x+12=96](https://tex.z-dn.net/?f=%5Csf%20x%2B12%3D96)
<u>Subtract 12 from both sides:</u>
![\sf x=96-12](https://tex.z-dn.net/?f=%5Csf%20x%3D96-12)
<u>Subtract 12 from 96:</u>
![\sf x=84](https://tex.z-dn.net/?f=%5Csf%20x%3D84)
<u>_________________________________</u>
The answer would come out to be 26
Answer:
![x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31](https://tex.z-dn.net/?f=x%3D3%2C%20y%20%3D%2049%5C%5Cx%3D0.5%2C%20y%20%3D%20-3.5%5C%5Cx%3D-0.67%2C%20y%20%3D%20-2.31)
Step-by-step explanation:
![y=6x^2-5\\y=17x-\frac{6}{x}](https://tex.z-dn.net/?f=y%3D6x%5E2-5%5C%5Cy%3D17x-%5Cfrac%7B6%7D%7Bx%7D)
Let's substitute the first equation into the second one.
![6x^2-5=17x-\frac{6}{x}](https://tex.z-dn.net/?f=6x%5E2-5%3D17x-%5Cfrac%7B6%7D%7Bx%7D)
- Multiply by
and bring all the terms to one side.
I'll use my graphical calculator to solve this but you could factor:
(All rounded to 2 decimal places)
Now we can substitute these
values into an equation for
.
![y=6x^2 - 5](https://tex.z-dn.net/?f=y%3D6x%5E2%20-%205)
![x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31](https://tex.z-dn.net/?f=x%3D3%2C%20y%20%3D%2049%5C%5Cx%3D0.5%2C%20y%20%3D%20-3.5%5C%5Cx%3D-0.67%2C%20y%20%3D%20-2.31)