### Home > CCA2 > Chapter 11 > Lesson 11.1.3 > Problem11-31

11-31.

Solve the following systems of equations and describe the shapes of the intersections.

1. $z^2 = x^2 + y^2$
$z = x + 2$

Substitute the second equation for $z$ in the first, and simplify to find an equation of $x$ and $y$.

What kind of graph is this?

$x=\frac{1}{4}y^2-1$

1. $z^2 = x^2 + y^2$
$z = 7$

See part (a).