Given data
The length of the major axis(l) of the ellipse is
[tex]l=4\sqrt[]{194\text{ }}\text{units}[/tex]
The length of the minor axis of the ellipse is
[tex]l_2=20\text{units}[/tex]
The formula for the length of the major axis is,
[tex]l=2a[/tex]
The formula for the length of the minor axis is
[tex]l_2=2b[/tex]
Solving for a
[tex]4\sqrt[]{194}=2a[/tex]
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,
[tex]2a[/tex]
which is equal to the length of the major axis.
Hence, the distances between the vertices of the hyperbola is
[tex]4\sqrt[]{194}units[/tex]
