Type your response in the box. Create a truth table for the following argument, and determine whether the argument is valid.

If there’s a 10 percent discount and I have enough money, I will buy the MP3 player. There’s no discount. So, I will buy the MP3 player.

Aright triangle has an area of 18 square inches. b: if the triangle is not an isosceles triangle, what are all the possible lengths of the legs, if the lengths are whole numbers. answer !

2y= 3 2 x−2 y = − 1 3 x + 1 y=− 3 1 x+1

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?