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

Case study: Walmart's joint venture in India Walmart is the world's largest retail business. The company wanted to enter the Indian market. Walmart did not set
Case study: Walmart's joint venture in India Walmart is the world's largest retail business. The company wanted to enter the Indian market. Walmart did not set
If AC = 32 and BC = 24, find AB.
How much gravity does it require to stop time
A pencil is 712 inches long. How long is the pencil in centimeters?
What is the shorthand electron configuration for Uranium?
Why sugar is an organic compound
8 friends went out to lunch and the bill was $71.21 including tax and gratuity. One of them ordered only a soda and needed to pay $1.56 the other 7 friends orde
how long does it take for the ball to travel 20 yards to the wide recevier if they are running 21 mph and the ball weighs 15 ounces
El invierno que viene Ricardo Rojas Response area dos semanas de vacaciones. El y su familia Response area un viaje a Panama. Alli ellos podrán pasar unos dias