Question

Can anyone help me with number 36? I’m trying to figure out how to do this am I’m having a lot of problems. The answer is in the box, I just don’t know how to get there. Thank you so much

Answer 1

You have 9i in the denominator. The goal is to have a real denominator. 9i is imaginary. i * i = -1 which is real. If you multiply the denominator by i, the denominator will be real. Since this is a fraction, we multiply the numerator and denominator by i.

`\frac{-6 - 10i} {9i } * (i)/(i) =`

`= ((-6 - 10i)i)/((9i)i)`

`= (-6i - 10i^2)/(9i^2)`

`= (-6i - 10(-1))/(9(-1))`

`= (-6i + 10)/(-9)`

`= (6i - 10)/(9)`

`= (-10 + 6i)/(9)`

`= (-10)/(9) + (6i)/(9)`

`= (-10)/(9) + (2i)/(3)`