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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

Respuesta :

Given:

[tex]z=5-9i[/tex]

[tex]w=6+i[/tex]

To find:

The expression that shows the first step in finding the quotient of [tex]\dfrac{z}{w}[/tex].

Solution:

According to the question,

[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}[/tex]

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

[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}\times \dfrac{6-i}{6-i}[/tex]

Therefore, the correct option is A.

Answer:

the answer is a

Step-by-step explanation:

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