Find the center, vertices, foci, eccentricity, length of the major axis, and length of the minor axis of the ellipse. Graph the equation.
\[
25 x^{2}+9 y^{2}-150 x-72 y+144=0
\]
The center is \( \square \)
(Type an ordered pair.)
The vertices are \( \square \)
(Type ordered pairs, separated by a comma.)
The foci are \( \square \)
(Type ordered pairs, separated by a comma. Type an exact value, using square roots as necessary.)
The eccentricity is \( \square \)
(Type an exact value, using square roots and fractions as necessary.)
The length of the major axis is \( \square \)
(Type a number.)
The length of the minor axis is \( \square \)
(Type anumber.)
