91Ó°ÊÓ

Determine whether the points \(A\), \(B,\) and \(C\) are vertices of a right triangle, an isosceles triangle, or both. $$ A(2,8), B(0,-3), C(6,5) $$

In Problems \(35-40,\) the given algebraic expression is an unsimplified answer to a calculus problem. Simplify the expression. $$ x+\frac{1}{x}-a-\frac{1}{a} $$

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ x^{2}-9<0 $$

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ x^{2} \geq 16 $$

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ |3 x|>18 $$

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

Determine whether the points \(A\), \(B,\) and \(C\) are vertices of a right triangle, an isosceles triangle, or both. $$ A(4,0), B(1,1), C(2,3) $$

The given algebraic expression is an unsimplified answer to a calculus problem. Simplify the expression. $$ \left(3 x^{2}+4 x-1\right)(4)(2 x-3)^{3}(2)+(2 x-3)^{4}(6 x+4) $$

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ |3+x|>7 $$

Determine whether the points \(A\), \(B,\) and \(C\) are vertices of a right triangle, an isosceles triangle, or both. $$ A(-2,1), B(0,9), C(3,4) $$