1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harkovskaia [24]
2 years ago
12

Simplify the following expression below:

Mathematics
1 answer:
IrinaK [193]2 years ago
7 0
So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b =  - 2
= 3^2 + (- 2)^2

refine: = 13
= 4(3 + 2i)/13

distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)

Multiply the numbers: 4(2) = 8
= 12 + 8i


   12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
You might be interested in
Create two equivalent fractons for 3/4
Sveta_85 [38]

Answer:

6/8 and 9/12

Step-by-step explanation:

You can find any by multiplying numerator and denominator by any given number. The number multiplied has to be the same for the top and the bottom

1. Number is 2

3/4 * 2/2 = 6/8 (3*2 = 6  and 4*2 = 8)

2. Number is 3

3/4*3/3 = 9/12 (3*3 = 9 and 3*4 = 12)

3 0
3 years ago
ANSWER QUICK!! NO LINKS!!
NikAS [45]

Answer:

the answer is 32 cups of water  and 12 cups drink mix.

Step-by-step explanation:

   

8 0
3 years ago
У
Masteriza [31]

Answer:

3 units by 4 units

8 0
3 years ago
How do you solve this don’t mind the (f) that’s just the problem number
zavuch27 [327]
Hello,
You need to evaluate the equation, so:
3xˆ2+14x+8 --> 17xˆ2+8. Hop this helps!

~Brainliest
3 0
3 years ago
Which is it.<br> Top left, top right, bottom left, or bottom right
shutvik [7]

Answer:

Option in the "bottom left" is correct choice.

Step-by-step explanation:

The volume of a sphere will become 27 times greater if diameter is tripled.

5 0
3 years ago
Other questions:
  • If a piece of ribbon is 5 and 1 over 2. Feet long, how long is it in inches? 33 inches 55 inches 60 inches 66 inches
    9·2 answers
  • Jon answered 20 questions correctly on a 50-question test. Which does NOT
    13·2 answers
  • Y = 3x + 10<br> y = -7x - 20
    6·1 answer
  • Give an example of how you can decompose 1<br>dollar.​
    7·1 answer
  • The sum of 3 consecutive even number is 270<br>what is thr first number in this sequense​
    6·1 answer
  • PLS SOMEONE HELPP ME
    13·2 answers
  • Jan has three dimes In her pocket and nothing else. she takes one coin out of her pocket. what is the probability that the coin
    5·1 answer
  • Julie is x years old. Kevin is x+3 years old &amp; Omar is 2x years old. Write an expression , in terms of x , for the mean of t
    10·1 answer
  • How can ΔABC be mapped to ΔXYZ?
    13·2 answers
  • Help me please this was due yesturday​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!