Consider the complex number z = a + bi.
i. write z in polar form. what do the variables represent?
ii. if r = 3 and theta = 90°, where would z be plotted in the complex plane?
iii. use the conditions in part (ii) to write z in rectangular form. explain how this representation corresponds
to the location of z that you found in part (ii).

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?

Given the sequence 7, 14, 28, 56, which expression shown would give the tenth term? a. 7^10 b. 7·2^10 c. 7·2^9

Askateboard ramp is in the shape of a right triangle what is the height of the ramp