Find the domain and solve the inequalities:
12/x^2+2x<3/x^2+4x+4

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Write the expression as a constant , a single trigonometric function, or a power of a trigonometric function. sin x cos x/ tan x

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.