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

how does.debate in the senate differ from debate in the house?
how do you now 11/33 is a simplest form
next term in sequence 61, 122, 244, 488
What is the meaning of Pangaea
Use the order of operations and the digits 2,4,6 and 8 to create an expression with a value of 2
y varies directly as x. if x=5 when y=12 find x when y=30
Orchids are a type of flowering plant. How would biologists explain how a living orchid species lacking leaves evolved from an ancestral orchid species that had
What's another name for vital signs?
Can someone help me in probability?Amanda wrote a computer program that generates two random numbers between one and eleven.When she runs it,what is the probabi
What are the 4 main products for southeast