Nehemiah wrote that 4 + 4 = 8. Then he wrote that 4 + 4 – k = 8 – k. Select the phrases that make the statement true. The equations 1. (are) 2. (are not) balanced because Nehemiah 1.( added k to) 2. ( subtracted k from) each side of the original equation.

What is the value of x? enter your answer in the box. (cm)

Which number line represents the solution set for the inequality -1/2x> 24?

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?