91Ó°ÊÓ

Use slopes to determine whether the given points are collinear (lie on a line). $$ \begin{array}{l}{\text { (a) }(1,1),(3,9),(6,21)} \\ {\text { (b) }(-1,3),(1,7),(4,15)}\end{array} $$

\(55-62\) . Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are \(P(-1,3)\) and \(Q(7,-5)\)

\(59-66\) . Find the solutions of the inequality by drawing appropriate graphs. State each answer rounded to two decimals. $$ x^{3}+11 x \leq 6 x^{2}+6 $$

Find an equation of the perpendicular bisector of the line segment joining the points \(A(1,4)\) and \(B(7,-2)\)

\(55-62\) . Find an equation of the circle that satisfies the given conditions. Center \((7,-3) ; \quad\) tangent to the \(x\) -axis

\(59-66\) . Find the solutions of the inequality by drawing appropriate graphs. State each answer rounded to two decimals. $$ 16 x^{3}+24 x^{2}>-9 x-1 $$

\(55-62\) . Find an equation of the circle that satisfies the given conditions. Circle lies in the first quadrant, tangent to both \(x\) - and \(y\) -axes; radius 5

Find the area of the triangle formed by the coordinate axes and the line $$ 2 y+3 x-6=0 $$

Plot the points \(M(6,8)\) and \(A(2,3)\) on a coordinate plane. If \(M\) is the midpoint of the line segment \(A B,\) find the coordinates of \(B .\) Write a brief description of the steps you took to find \(B\) and your reasons for taking them.

\(59-66\) . Find the solutions of the inequality by drawing appropriate graphs. State each answer rounded to two decimals. $$ x^{1 / 3}