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

One fourth of 12 bottles of water equals how many bottles
In 1998 former nfl linebacker chris spielman was forced to choose between staying with his sick wife or playing professional football. what sort of sociological
If two angles are complementary, then they total 90o. converse: inverse: contrapositive:
which of the following is not a process that forms metallic ore
evaluate the numeric expression of 2+14x5-5 What is the answer
A doctor is in a hurry and runs a red light is considered Self vs self Self vs environment Self vs world Or Self vs human
Is 100 feet per 2 seconds a unit rate
Why were special conventions and not state legislatures called upon to ratify the constitution?
How did the wilderness setting and proximity to the Indians affect the beliefs of "the Salem folk"?
2 point) what is the height of a d-heap that contains n elements? the height should be a function of n and d. shortly justify your answer; a formal proof is not