Problem 2 The coordinate of the endpoints of the line segment AB are A(0,5) and B(10,5).
a. Find the gradient of the line AB.
b. Find the midpoint between A and B.
A second line is perpendicular to AB passing through its midpoint.
c. Write down the gradient of the line perpendicular to AB.
d. Write down the equation of the line perpendicular to AB.
e. Find the equation above in the form form + + = 0, , , and are integers

1-for what value of x is line a parallel to line b 2-for what value of x is line a parallel to line b

Place the following steps in order to complete the square and solve the quadratic equation,

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?