Question

I would love to have help figuring this one problem out

Answer 1

Given data

The length of the major axis(l) of the ellipse is

`l=4\sqrt[]{194\text{ }}\text{units}`

The length of the minor axis of the ellipse is

`l_2=20\text{units}`

The formula for the length of the major axis is,

`l=2a`

The formula for the length of the minor axis is

`l_2=2b`

Solving for a

`4\sqrt[]{194}=2a`

We are told to look for how far apart are the vertices of the hyperbola.

The formula to solve for the distances between the vertices of the hyperbola is given as,

`2a`

which is equal to the length of the major axis.

Hence, the distances between the vertices of the hyperbola is

`4\sqrt[]{194}units`