The length of a rectangular floor is 4 ft longer than its width w.

the area of the floor is 525 ft2.
(a) write a quadratic equation in terms of w that represents the situation.
(b) what are the dimensions of the floor? show your work.

Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅? a. sin (α -β) = sin α cos β – cos α sin β b. cos (α -β) = cos α cos β – sin α sin β c. cos (α -β) = cos α cos β + sin α sin β d. sin (α + β) = sin α cos β + cos α sin β

Agreeting card company can produce a box of cards for $7.50. if the initial investment by the company was $50,000, how many boxes of cards must be produced before the average cost per box falls to $10.50?

What is the axis of symmetry of the function f(x)=-(x+ 9)(x-21)