A wall is to be painted. A small rectangle in the middle of the wall will remain white to use for a projector. Find the area of the shaded region that will be painted.

The area of the entire wall is ft
The area of the space for the projector is ft
The area of the space to be painted is ft

For which pair of functions is (gof)(a)=|a|-2?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

What is the lcm of 16 and 40 ? 24 and 40 ?