Question

Let z = 5 – 9i and w = 6 + i.

Which expression shows the first step in finding the quotient of StartFraction z Over w EndFraction ?

StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 6 minus I Over 6 minus I EndFraction
StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 6 + I Over 6 + I EndFraction
StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 5 minus I Over 5 minus I EndFraction
StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 5 + I Over 5 + I EndFraction

Answer 1

the answer is a

Explanation:

edge 2020

Answer 2

Given:

`z=5-9i`

`w=6+i`

To find:

The expression that shows the first step in finding the quotient of
`(z)/(w)`.

Solution:

According to the question,

`(z)/(w)=(5-9i)/(6+i)`

First, we need to multiply and divide the conjugate of denominator, i.e., 6-i, to find the quotient.

`(z)/(w)=(5-9i)/(6+i)* (6-i)/(6-i)`

Therefore, the correct option is A.