The short sides of a rectangle are 2 inches. the long sides of the same rectangle are three less than a certain number of inches. write an expression, in simplest form, to represent the perimeter of this rectangle.

1- 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.2- 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 the first question?

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.