### Home > A2C > Chapter 11 > Lesson 11.2.1 > Problem11-38

11-38.

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).