I have 4 questions 1. Suppose point T is between points R and V on a line. If RT = 63 units and RV = 131 units,
then what is TV?

131

194

68

80

2.Given point P is between M and N. If MN = 26, MP = x + 4, and PN = 2x + 1, what is the value of x?

x = 3

x = 7

x = 12.5

x = 22

3.Given M is the midpoint of HJ, HM = 4x - 12, and MJ = 3x + 9. What is the value of x?

4.If D is the midpoint of CE, DE = 2x + 4, and CE = 6x + 2, then what is CD?

For what value of x does 4x = (1/8) x + 5?

The parabola x= √y-9 opens: a.)up b.)down c.)right d.)left

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?