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

Which word correctly completes the sentence? When we were toddlers, we __________ go to a wading pool near the park. a. use to b. used to
The graph of a proportional relationship passes through (12, 16) and (1, y). Find Y.
Is y=2x-5 a function?
How did northern states make it difficult for former slaves to purchase land?
The basic sentence structure in English is SUV, meaning 'Subject, Utility section, Verb.' True Fals
What is a syllogism? A)a play written by Sophocles B)a logical sequence created by Aristotle C)a proposition that is valid D)a system of thought analysis
The beginning of the Anglo-Saxon period roughly corresponds with which historical event?
Which of the following is an example of improved functioning as related to the benefits of muscular strength and endurance training? a. having stronger bones b
What value must you identify to solve for j in the equation of J=4K-4
which plant cell organelle uses light energy to produce sugar