Write the equation of the ellipse centered at the origin with a vertex at (0, 6) and a co-vertex at (5,0).

Find an equation in standard form for the ellipse with center at the origin and passes throught the points (4, 8) and (-5, 7.565).   *** please show work

Identify the general equation, as well as the coordinates of the foci of the following ellipse that has the following conditions: Vertices (-1, 3) and (5, 3), with axis length less than 4:   A . 4x^2+9y^2 - 16x - 54y + 61=0, Focsi F1 = (2+√5, 3), F2=(2 - √5, 3) B. 16x^2+36y^2 - 64x - 216y - 188 = 0, Focis F1=(2+√20, 3), F2=(2 - √20, 3) C. 9x^2+4y^2 - 54x -16y + 61=0, Focis F1 = (2, 3+√5), F2=(2, 3 - √5 ) D. 36x^2+16y^2 - 216x - 64y +188 = 0, Focis F1=(2, 3+√20), F2=(2, 3 - √20)

Select the equation of an ellipse which matches the following information: • Foci: (5 – V21,0), (5 + v21, 0); • Vertices: (0, 0), (10, 0). - [(x-5)^2/4]+(y^2/25)=1 O [x-5)^2/4]+(y^2/4)=1 O [x-5)^2/25]+(y^2/4)=1 O (x^2/4)+[(y-5)^2/25]=1