Check that the relation cueve deg(u) = 2 · #eg holds for each of the following: (a) cycles cn (b) paths pin (c) complete graphs kn (d) complete bipartite graphs kmin

Given right triangle xyz, which correctly describes the locations of the sides in relation to

Add the two expressions 3.8b - 7 and 2.9b + 9 enter your answer in simplified form

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?