1. Michael has a room in his house that is shaped like a
parallelogram. The length
of the room measures 10
feet and the width
measures 21 feet. What is
the perimeter of the room?

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?

Solve the system of equations using the substitution method. {y=−3x+7x=−2y−16 enter your answers in the boxes.

Simplify each expression. use positive exponents. show work . (x –2 y –4 x 3 ) –2