Caroline drew the blueprints of her new kitchen on a coordinate plane. The coordinates of the four corners of her square kitchen are (2, 4), (-10, 4), (-10, -8) and (2, -8). How many units long is one wall of her kitchen? If needed, create a graph to help answer the question.

Add the fractions and simplify 1/2+ 1/3

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?

Lines a and b are parallel. what is the value of x? -5 -10 -35 -55