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

At this 1945 conference Harry Truman, Clement Attlee, and Joseph Stalin met to discuss how to administer punishment to Germany following her unconditional surre
Angela goes to the Garden. There is a fountain. A circular fountain with 10m radius lies alone in the center of a circular park with a 200m radius. Calculate th
Difference between perception and perspective
How did the arrest of Rosa Parks energize into the civil rights movement ?
Choose the large, double reed woodwind with the lowest timbre.
when glaciers melt, they leave ridges of rock, gravel, sand, and clay called
If you are performing a stoichiometry problem and the only information you have to start is the molarity and volume of a solution used, what would you do?
Seed is 4m/s 3 sec later at the bottom of the slope it's speed is 22m/s what is the average acceleration
what is the alarm stage
In 1973 a cease fire was negotiated in the Vietnam War. true or false