An English teacher needs to pick 33 books to put on her reading list for the next school year. She has narrowed down her choices to 1212 novels and 1616 plays. Step 1 of 2: How many different ways can she choose the books to put on the list?

Two lines parallel to a third line are parallel to each other. always sometimes or never

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?

The anwser cause i do not understand just plez