Solve the following equation.

$\frac{2 t}{t+1}+\frac{4}{t-1}=2$

Find the coordinates of the midpoint of the segment with the given endpoints. $P(10,-6), Q(-4,-7)$

Solve each equation. State the number and type of roots. $16 x^{4}-625=0$

Find the distance between points with the given coordinates. $(3,5),(-6,0)$

Solve each equation. Check your solution. $\sqrt{x^{2}+9 x+15}=x+5$

Use the equation $u t-16 t^{2}=0$, where v=velocity in feet per second and t=time in seconds. A rocket at a fireworks display was launched with the initial velocity of 208 ft/sec. How many seconds was it in the air before it splashed down in the lake?

Simplify. $(-5 i)(-8 i)$

Calculate the midpoint of the segment with the given endpoints. $G(5,3), H(-5,-3)$

Solve the following equation.

$4-\frac{p}{p-1}=\frac{2}{p-1}$

Calculate the midpoint of the segment with the given endpoints. $E(4,-7), F(-2,3)$

Solve the following equation.

$\frac{y+4}{y-2}+\frac{6}{y-2}=\frac{1}{y+3}$

Solve each equation. Check your solution. $\sqrt{6 a-6}=a+1$

Solve each equation. State the number and type of roots. $8 x^{3}-27=0$

Find the value of c that makes each trinomial a perfect square. Then write the trinomialas a perfect square. $x^{2}-13 x+c$