LonzellR32754 LonzellR32754
  • 03-11-2022
  • Mathematics
contestada

Find the quotient. Write your answer in standard form. 3+ O A. + COLO O B.-1 O C. 1-1 OD. llo 011

Find the quotient Write your answer in standard form 3 O A COLO O B1 O C 11 OD llo 011 class=

Respuesta :

LaiL630004 LaiL630004
  • 03-11-2022

Option A is correct.

The given complex number is

[tex]\frac{3+i}{3-i}[/tex]

Multiply the numerator and denominator by 3+i and solve as follows:

[tex]\begin{gathered} \frac{3+i}{3-1}\times\frac{3+i}{3-i}=\frac{(3+i)^2}{3^2-i^2} \\ =\frac{3^2+i^2+6i}{9+1} \\ =\frac{9-1+6i}{10} \\ =\frac{8+6i}{10} \\ =\frac{8}{10}+\frac{6}{10}i \\ =\frac{4}{5}+\frac{3}{5}i \end{gathered}[/tex]

Answer Link

Otras preguntas

Colise has 2 vases of flowers that each hold 10 red and 5 yellow roses. michelle has the same total number of roses but in 3 vases. each vase has 6 red roses. h
how to solve 6x-3=7x-11
A group of various species that interact with each other is called a _____. family species population community
you are in the locker room getting ready for physical education class. the class is playing volleyball today. your friends are being negative and keep repeating
How long do butterflies live?
How could the acquisition of alaska contribute to U.S trade with japan
warm colors in a painting give it a cool,calm, or sad mood. true or false
PLEASE HELP ME Which property explains why these two expressions are equal? (W +2/3)+5=W+(2/3+5) A. Associative B. Commutative C. Distributive D. Transverse
the difference between a number and two times a number is seven the number is greater than zero what is the number
Which of the following is malleable A. Glass B. Pottery C. Ice D. Gold