91Ó°ÊÓ

In Problems \(37-40,\) find the \(x\) - and \(y\) -intercepts of the given circle. the circle with center (3,-6) and radius 7

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ x(x-5) \geq 0 $$

Determine whether the points \(A\), \(B,\) and \(C\) are vertices of a right triangle, an isosceles triangle, or both. $$ A(1,1), B(4,5), C(8,8) $$

Find the \(x\) - and \(y\) -intercepts of the given circle. the circle \(x^{2}+y^{2}+5 x-6 y=0\)

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ 4 x^{2}+7 x<0 $$

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ |x+4| \leq 7 $$

The given algebraic expression is an unsimplified answer to a calculus problem. Simplify the expression. $$ (12 x-1)^{1 / 3}(2)\left(x^{2}-1\right)(2 x)+\left(x^{2}-1\right)^{2}\left(\frac{1}{3}\right)(12 x-1)^{-2 / 3}(12) $$

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ x^{2}-8 x+12<0 $$

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ |2 x-7| \leq 1 $$

The given algebraic expression is an unsimplified answer to a calculus problem. Simplify the expression. $$ \frac{2 x(-4 x+6)^{1 / 2}-x^{2}\left(\frac{1}{2}\right)(-4 x+6)^{-1 / 2}(-4)}{\left[(-4 x+6)^{1 / 2}\right]^{2}} $$