91Ó°ÊÓ

a) Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola and b) Graph the equation.

$64{\mathrm{x}}^2-9{\mathrm{y}}^2=576$

In the following exercises, (a) find the centre and radius, then (b) graph each circle.

${(x-1)}^2+y^2=36$

Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola b) write the equation in standard form and c) graph the equation.

$24{\mathrm{x}}^2+64{\mathrm{y}}^2+200\mathrm{x}-256\mathrm{y}-944=0$

In the following exercises, solve each rational inequality and write the solution in interval notation.

$\frac{x+1}{x−3}≤0$

Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola b) write the equation in standard form and c) graph the equation.

${\mathrm{x}}^2+{\mathrm{y}}^2+10\mathrm{x}+6\mathrm{y}+30=0$

Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola b) write the equation in standard form and c) graph the equation.

$\mathrm{x}=-{\mathrm{y}}^2+2\mathrm{y}-4$

Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola b) write the equation in standard form and c) graph the equation.

$9{\mathrm{x}}^2-25{\mathrm{y}}^2-36\mathrm{x}-50\mathrm{y}-214=0$

Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola b) write the equation in standard form and c) graph the equation.

$\mathrm{y}={\mathrm{x}}^2+6\mathrm{x}+8$

In the following exercises, solve each rational inequality and write the solution in interval notation.

$\frac{x−6}{x+5}<0$

Solve the nonlinear system of equations by

graphing:

$\left\{\begin{array}{l}3{\mathrm{y}}^2-\mathrm{x}=0\\ \mathrm{y}=-2\mathrm{x}-1\end{array}\right.$