Find an equation for the ellipse that satisfies the given conditions: Foci (1, ±4) Vertices (1, ±7)

Find an equation for the ellipse that satisfies the given conditions: Foci (1, ±4) Vertices (1, ±7)

change this equation in standard form by completing the square.

A planet has an elliptical orbit around a sun, (one of the foci of the ellipse. The planet is 1,325,022 miles from the sun at its furthest point. If the sun is 231,000 miles from the center of the...

a. Foci (±4 , 2), major axis 10. B. Major axis parallel to x-axis, center (- 3 , 1), one end of the vertices at (- 5 , 1) and the length of latus rectum is 1. C Ends of major axis...

please solve for y for this ellipse problem!

Pls let me know about the value of e=1/2?

Reduce the equation 32𝑥2 + 50𝑦2 − 128𝑥 − 672 = 0 to standard form. Locate the center, foci, vertices, ends of latera recta, and trace the curve.

5𝑥2 + 2𝑦2 = 100

Find the coordinates of the foci, ends of major and minor axes, ends of the latus rectum 5𝑥^2 + 2𝑦^2 = 100

a. Center (0 , 0), one vertex (0 , - 7), one end minor axis (5 , 0). b. Foci (±3 , 0), vertices (±5 , 0). c. Foci (±4 , 2), major axis 10. d. Major axis parallel to x-axis, center...

find the area of the ellipse (x+2y)2 + (3x+4y)2 =1

I have to find the vertices, foci, and both axes lengths. I can do all this but I don't understand what to do with 36x^2 + 25y^2 without affecting the 1 on the right side of the...

What is the standard form equation of a an ellipse with foci at (3,0) and (-7, 0) and endpoints of the major axis at (11, 0) and (-15, 0)? standard form equation of an ellipse

I am asked to find the center and intercepts of an ellipse and a hyperbola. also, to give the domain and range of each graph i am given.

If the major axis is horizontal and has a length of 22 units, the minor axis has a length of 18, and the ellipse has a center (-7,6) fill in the missing denominators for the equation and determine...

the eccentricity of the ellipse 4x2+y2-8x+2y+4

the orbit of the earth around the sun is an ellipse sun is on one foci. if length of major axis is 300 million km and eccentricity is 0.0167 find minimum and maximum distance...

4x2+25y2=1

need to find the equation of an ellipse

An ellipse with the equation [((x-1)^2)/9]+[(y^2)/8]=1 Show that the given ellipse in polar co-ordinates has the form a+rcosTheta = br additionally determine the values of a and b...