The length l of a rectangle is decreasing at a rate of 1 cm/sec, while its width w is increasing at the rate of 3 cm/sec. At what rate is the length of the diagonal changing at the instant when l=8 and w=6

1- 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.2- 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 the first question?

The cost of turkey is directly proportional to its weight. if a 12-pount turkey costs $27, how much does a 16-pound turkey cost? a. $33.75 b. $36.00 c. $31.00 d. $32.50

Mackenzie needs to determine whether the rectangles are proportional. which process could she use? check all that apply.