Simplify (2x – 2y)(2y + 8) = ? a. 4xy – 4y2 b. 4xy – 16x – 4y2 – 16y c. 4xy + 16x + 4y2 + 16y d. 4xy + 16x – 4y2 – 16y

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³

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?

1- how are translations represented as a function? . . 2- what is the relationship between a translation and a rigid motion? answer my grade depends on it! you so much