math

posted by .

Find the vertices, foci, and eccentricity of the ellipse. Thank you.

x^2/16 + y^2/25 = 1

• math -

a^2 = 16 ---> a=4
b^2 = 25 ---> b = 5

major axis along the y-axis,
vertices (4,0) , (-4,0) , (0,5) , (0, -5)

c^ + 4^2 = 5^2
c = ±3
foci : (0,3) , (0, -3)

e = c/b for an ellipse like that
= 3/5

Similar Questions

1. Math

Find the center, vertices, foci, and eccentricity of the ellipse. 9x^2 + 4y^2 - 36x + 8y + 31 = 0 My answer was: center=(2,1) v=(-2,10)(-2,-10) f=(-2,11)(-2,-11) e=11/3 Where did I make a mistake?
2. Math

Find the center, vertices, foci, and eccentricity of the ellipse. 9x^2 + 4y^2 - 36x + 8y + 31 = 0 I know the center is (2,-1) For the vertices I had (3,-1)(1,-1) and the foci (3.8,-1)(.20,-1) and e = 1.80 but I think these are wrong.
3. maths

Given that the ellipse x^2/a^2 + y^2/b^2 =1 has foci at(+/-ae,0)where e is the eccentricity and b^2=a^2(1-e^2),find the coordinates of the foci and the value of e^2 for the ellipse X^2+4y^2 =16
4. math

Find the vertices, foci, and eccentricity of the ellipse. 64x^2 + 81y^2 = 5184
5. math

Find the vertices, foci and eccentricity of the ellipse.Thank you 9x^2 + y^2 = 81
6. algebra

An ellipse has foci (0,+-3) and vertices (0,+-4). What is the eccentricity of the ellipse?
7. Analytic Geometry

Find the vertices, foci, eccentricity and length of the latus rectum of the ellipse whose equation is x^2 + 9Y^2 = 9
8. precal

complete the square to identify what type of conic you have, identify the key parts indicated and then graph conic. parabola: vertex,focus, directrix, focal diameter. ellipse: center,vertices, foci, eccentricity. hyperbola: center, …
9. math

let equation of an ellipse be x^2+4y^2+6x-8y+9=0 a. Find the standard form of the ellipse b. Find the center c. Find the vertices d. Find the foci e. Find the eccentricity
10. mathematics

Find the coordinates of foci, vertices, eccentricity of an ellipse and sketch the graph of equation:(x-2)^2\4+(y+3)^2\9=1

More Similar Questions