Question

Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10. (5 points)

x squared divided by 5 plus y squared divided by 8 = 1

x squared divided by 25 plus y squared divided by 64 = 1

x squared divided by 8 plus y squared divided by 5 = 1

x squared divided by 64 plus y squared divided by 25 = 1

Answer 1

Answer: A

Explanation:

Answer 2

`(x^2)/(25)+(y^2)/(64)=1`

Explanation:

If the ellipse has a vertical major axis of length 16, then

`2a=16`

`\Rightarrow a=8`

If the ellipse has the length of the minor axis to be 10, then;

`2b=10`

`\Rightarrow b=5`

The equation of the ellipse is given by;

`(x^2)/(b^2)+(y^2)/(a^2)=1`

Thus;

`(x^2)/(5^2)+(y^2)/(8^2)=1`

`(x^2)/(25)+(y^2)/(64)=1`