Write the equation of the circle with center (2, -3) and a radius of 4. a) (x + 2)2 + (y - 3)2 = 4 eliminate b) (x - 2)2 + (y + 3)2 = 4 c) (x + 2)2 + (y - 3)2 = 16 d) (x - 2)2 + (y + 3)2 = 16

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?