A rational number is 5.3 . It's rational because it can be written as a fraction a/b
- that is 5 3/10 or 53/10.
An irrational number between the 2 values would be √29
Enter this into ur calculator and you'll get an answer like 5.385164807 but this number carries on beyond bounds and can't be written as a fraction a/b It is irrational.
One way to do this is to notice
Then
We have
and since 
has a period of 
,
and so
First, we'll find the slope of the new line. The first line has a slope of 
. Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by 
) to get 
for the new slope.
Then, we'll use the point-slope form to make the new equation, where 
is the slope and 
is a point on the line:
It's a binomial times a binomial, so you FOIL
First multiply the First numbers
3z*z = 3z(^2)
Then multiply Outers:
3z* -4 = -12z
Nest, Inners:
9*z = 9z
Finally, the Lasts:
-4*9 = -36
Then, throw it all together in descending order, starting with the variable of highest degree to lowest:
3z^2 - 12z + 9z - 36
Last of all, simplify coefficients with like terms and you're good to go:
3z^2 - 3z - 36
Hope this helps!
