# Algebra

posted by .

Find the equation of the ellipse with vertices at (-1,3) and (5,3)and length of minor 4.

• Algebra -

first find the centre, which would be the midpoint of the vertices,
it would be (2,3)
the length of the minor axis is 4, so b = 2

sofar we would would have
(x-2)^2/a^2 + (y-3)^2/4 = 1
but (5,3) lies on it, so
(5-2)^2/a^2 + (3-3)^2/4 = 1
9/a^2 = 1
a^2 = 9

final equation
(x-2)^2/9 + (y-3)^2/4 = 1

• Algebra -

thanks!

• Algebra -

8(16)

## Similar Questions

1. ### precal help

Find a Parabola with Vertex (3,1) Focus (4,1) Find the vertex of 4y^2+4y-16x+13=0 Find the center of an ellipse 9x^2+4y^2-36x-24y-36=0 Find an ellipse with minor axis of 8 and vertices at (-9,3),(7,3)
2. ### math

Find the equation of an ellipse with minor axis length 8 and vertices at (-9,3),(7,3) is this right so far?
3. ### math

Find the equation of an ellipse with minor axis length 8 and vertices at (-9,3),(7,3)
4. ### maths

Given the equation of an ellipse is 4x^2 + y^2 + 24x - 6y + 9 = 0 (i) Find the centre,foci and vertices (ii)calculate the lengths of the major and minor axes
5. ### Ellipse equation?

(x-2)^2 / 49 + (y+1)^2 / 25 = 1 a.) what are the vertices?
6. ### Algebra

1. What is the equation an ellipse with foci at (0, ±2 √10 ) and x-intercept at (9, 0)?
7. ### PreCalculas help

1.Write the equation of the conic section with the given properties: A hyperbola with vertices(0,6)(0,-6)and asymptotes y=3/4x and y=-3/4x. 2.Write the equation of the conic section with the given properties: An ellipse with vertices(0,-5)(0,5)and …
8. ### PreCalculas

1.Write the equation of the conic section with the given properties: A hyperbola with vertices(0,6)(0,-6)and asymptotes y=3/4x and y=-3/4x. 2.Write the equation of the conic section with the given properties: An ellipse with vertices(0,-5)(0,5)and …
9. ### precalc

Find the standard form equation for each ellipse described. 1) Major vertices at (0, 3) and (0, -3), minor vertices at (2, 0) and (-2, 0) 2) Major vertices at (7, 0) and (-7, 0), foci at (5, 0) and (-5, 0) 3) Minor vertices at (-2, …
10. ### trig/ellipse equation

Find an equation of an ellipse satisfying the given conditions: Vertices: (-1, -8) and (-1, 4); and the length of the minor axis is 10.

More Similar Questions