If JKLM is a rhombus, MK = 30, NL = 13, and m e) m a) NK =
b) JL =
f) m C) KL =
g) m d) m h) m

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36

Which of these tables represents a non-linear function?

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?