Q5. A builder rents a digger. He pays a fixed charge of $30 plus $10 per hour to rent the digger. Work out how much he pays to rent the digger for: a) 1 hour b) n hours (1.5 x 2 = 3) Q6) The width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectangle, giving your answer in its simplest form. (2+1=3 marks)

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?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Aline passes through (1,-5) and(-3,7) write an equation for the line in point slope form rewrite the equation in slope intercept form