Two lines have equations y=(5)/(2)x+31 and 2x=5-5y Choose the correct statement. (a) The lines are parallel. (b) The lines have two common points. (c) The lines have the same y-intercepts. (d) The lines are perpendicular. (c) One of the lines is horizontal.

Solve the equation. Give the solution in exact form. $log_{3}(x+12)+log_{3}(x-12)=4$ Rewrite the given equation without logarithms. Do not solve for x. $(x+12)(x-12)=81$ Select the correct choice below and, if necessary.fill in the answer box to complete your choice. A. The solution set is $\{ \square \} $ (Type an exact solution using radicals as needed Use a comma to separate answers as needed.) B. The solution is the empty set.

Given the following trig Identity equation, $sinx=cscx-cosxcotx$ the best way to verify this identity is to work on $\square $ side of the equation to get that side to equal the other side.

Evaluate the following ex expression and indicate the answer in decimal form. Round the FINAL answer to three decimal places. $12\frac {1}{3}\div 5\frac {2}{3}$ Select one: a. 2.070 b. 2.176 c. 2.250 d. 3.177

Given Find $(f\cdot g)(2)$ 19 11 143 029 021 $f(x)=3x+5$ $g(x)=x^{2}+2x$

For the points P and Q, find the distance $d(P,Q)$ $P(6\sqrt {2},-4\sqrt {11}),Q(8\sqrt {2},9\sqrt {11})$

9. $4^{-5}\div 4^{-8}=\underline {\quad }=\underline {\quad }$

Simplify: $\frac {x^{3}}{x^{5}}$ $x^{2}$ $x^{\frac {3}{5}}$ $\frac {1}{x^{2}}$ $\frac {1}{x}$

Which of the following letters has both line symmetry and point symmetry? S D m H

Which of the following is a factor of $6x^{2}-x-1$ (a) $2x+1$ (b) $6x-1$ (c) $6x+1$ (d) $2x-1$ (e) $3x-1$

Which of the statements below best describe the solution(s) of the equation $2x^{2}+5x=3$ (a) there are two solutions, both are positive (b) there is one solution and it is positive (c) there are two solutions, one positive and one negative (d) there is one solution and it is negative (e) there are two solutions, both are negative