Determine which of these relations are transitive. The variables x, y, x', y represent integers A. x~y if and only if x +y is positive. B. (x, y)~(x/.y/) if and only if x+yx+y C. x~y if and only if xy 2 0 D. x~y if and only if x + y is even. Ex~y if and only if xy is negative. Fx~y if and only if x-y is a multiple of 10.

The length of each stair is 11 inches. what is the rise, r, for each stair? round to the nearest inch. 2 inches 7 inches 17 inches 24 inches

Solve for n? [tex]z = \frac{3}{4} mn[/tex]

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?