Question 137171
It's not an ellipse; it's a hyperbola.
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The equation is x^2/9 - y^2/25 = 1
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Number 1) find the vertices,center, foci, and eccentricity 
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a = 3, b=5, therefore c = =sqrt(9+25) = sqrt(34)
Vertices at (a,0),(-a,0):  (3,0),(-3,0)
Center at (h,k):  (0,0)
Foci at (c,0), (-c,0):  (sqrt(34),0),(-sqrt34,0)
eccentricity = c/a = sqrt(34)/3
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Cheers,
Stan H.