SOLUTION: Please help me with this problems!! Number 1) find the vertices,center, foci, and eccentricity of the ellipses and sketch its graph. p.s. you don't really need to sketch it for m

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Question 137171: Please help me with this problems!!
Number 1) find the vertices,center, foci, and eccentricity of the ellipses and sketch its graph. p.s. you don't really need to sketch it for me!
The equation is

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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
---------------
Cheers,
Stan H.

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