I have some more problems with conics to work through....

1

What is the equation of the ellipse with foci at (0,-4) and (0,4) and the sum of its focal radii being 10?

2

Identify the following conic. that is, is it a circle, parabola, hyperbola, or ellipse? Show why.

3

Solve the system of equations.

$\displaystyle 3x+4y+z=7$

$\displaystyle 2y+z=3$

$\displaystyle -5x+3y+8z=-31$