The Pythagorean triple (5, 12, 13) can't be generated from the identity (x2 - 1)2 + (2x)2 = (x2 + 1), which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.

6people equally share 56 gummy worms. how many gummy worms does each person get? nine and one sixth gummy worms nine and two sixths gummy worms ten and one sixth gummy worms ten and two eighths gummy worms

Select all the correct answers. what is 221,000,000,000,000,000,000 expressed in scientific notation?

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?