91Ó°ÊÓ

In the following exercises, graph.

$25y^2-9x^2=225$

In the following exercises, graph

$4y^2−9x^2=36$

Simplify

(a)${\left(\frac{1}{2}{y}^2\right)}^3{\left(\frac{2}{3}y\right)}^2$

(b)${\left(\frac{1}{2}{j}^2\right)}^5{\left(\frac{2}{5}{j}^3\right)}^2$

In the following exercises, graph.

$16y^2−25x^2=400$

In the following exercises, graph

$4x^2−16y^2=64$

In the following exercises, graph.

$9x^2-4y^2=36$

In the following exercises,simplify

$$\begin{gathered} \left(a\right)\frac{r^{{\displaystyle \frac{5}{2}}}.r^{-{\displaystyle \frac{1}{2}}}}{r^{-{\displaystyle \frac{3}{2}}}} \\ \left(b\right)\left(\frac{36s^{{\displaystyle \frac{1}{5}}}{t}^{-{\displaystyle \frac{3}{2}}}}{s^{-{\displaystyle \frac{9}{5}}}.t^{{\displaystyle \frac{1}{2}}}}\right) \end{gathered}$$

In the following exercises, graph

$\frac{{\left(x-1\right)}^2}{16}-\frac{{\left(y-3\right)}^2}{4}=1$

In the following exercise-$(-3,-3)and(6,-1)$

(a) find the midpoint of the line segments whose endpoints are given and,

(b) plot the endpoints and the

midpoint on a rectangular coordinate system.

In the following exercises, graph.

$\frac{{\left(x-2\right)}^2}{4}-\frac{{\left(y-3\right)}^2}{16}=1$