paytonkimberly2131 paytonkimberly2131
  • 01-08-2022
  • Mathematics
contestada

Simplify the following expression:

( 4 + 5i ) / 4i
Select one:

a.
( 5 + 4i ) / 4


b.
( 5 - 4i ) / 4


c.
( 5i + 4i ) / 4


d.
( 5i - 4 ) / 4

Respuesta :

Medunno13
Medunno13 Medunno13
  • 01-08-2022

Answer: B

Step-by-step explanation:

[tex]\frac{4+5i}{4i}\\ \\ =\frac{1}{4} \left(\frac{4+5i}{i} \right)\\\\=\frac{1}{4}((-i)(4+5i))\\\\=\frac{1}{4}(-4i-5i^2)\\\\=\frac{5-4i}{4}[/tex]

Answer Link

Otras preguntas

What is 4-(2x-3)=3??
How did the War Powers Act 1973 affect the power of the President
What is the osmotic pressure of a 100 ml of toluene solution that contains a total of 0.005 moles of a polymer dissolved in it at 25°c? give your answer in atm?
Match each part of the expression with what it represents
Find the related rate and unit rate for each ratio. Remember, you divide the first quantity by the second to find the related rate. What do you notice about all
On venus the closest planet to the earth there is no water rewrite the above sentence with the correct punctuation and commas as necessary so all appositive are
Everything at the small sit-down dinner party has gone beautifully. You go to finish off the evening with a flare by bringing in the customer's fondue pot, wh
This refers to the ability of the heart,lungs and blood vessels to supply oxygen and nutrients throughout the body
Need help on these question
So what’s the answer to number 1