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

PLEASE HELP Find an equation for the nth term of the arithmetic sequence. a18 = 97, a20 = 281
Who is president us
how can pure dry crystals of calcium chloride be obtained from a solution of calcium chloride
What can you conclude about x-rays compared to microwaves? a. X-rays have the same frequency as microwaves. b. X-rays have a lower frequency than microwaves. c.
In a chemical reaction, one or more substances called __________ are combined or broken down to form ___________. products; reactants products; compounds reacta
What is the most effective means of controlling current water pollution of US surface waters
what is 25/35 in simplest form
The figure below shows parallel lines cut by a transversal: A pair of parallel lines is shown with arrowheads on each end. A transversal cuts these two lines. A
which description is an etymology of the word riot?
Juanita is making necklaces to give as presents. She plans to put 15 beads on each necklace. Beadsare sold in packages of 20. What is the least number of packag