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

WILL MARK BRAINLIEST!!! HELP! PLEASE HELP!
why is important to monitor your word choice in a perfessional setting
I need accurate answer please because this is the last attempt
What do we learn from the priest's speech in the opening lines about how thebes views oedipus as a leader?
what is the simpliest form of 121/16
Select all that apply: Contaminated sharps should not be ----
"Jiffy peanut butter and Smucker's Strawberry jam are considered to be complementary goods. Show how an increase in the price of Jiffy peanut butter affects the
-23 + (-11) - (-15) + 21
At least ______ of your grain servings should be whole grain products each day?
How is the Frankenstein story presented? What aspects are emphasized or downplayed? (For example, many versions present the tale as a horror story and do not po