Arectangle table is two times as long as it is wide. if the area is 50ft^2. find the length and width of the table.

Describe what moves you could use to create the transformation of the original image shown at right

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

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?