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
stiks02 [169]
3 years ago
12

Simplify the expression 2+3i/4+3i Please help

Mathematics
1 answer:
rjkz [21]3 years ago
7 0

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

You might be interested in
How do I solve 7x+3=59​
lesya692 [45]

Answer:7x+3=59

59-3

7x=56

Then you divide them both by 7

7x/7=56/7

Then you get your answer

X=?

I'll let you do the last part tho

Step-by-step explanation:

7 0
3 years ago
What is the length of A in centimeters?
Viktor [21]

Answer: 6

Step-by-step explanation: Look at the other triangle

3 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
xxMikexx [17]

Answer:

2 1/2

Step-by-step explanation:

Turn both fractions into improper fractions, multiply the whole number by the denominator and add the numerator.

4 3/4

4 * 4 + 3 = 19

19/4

2 1/4

2 * 4 + 1 = 9

9/4

Now since she drank 2 1/4 gallons of juice, subtract 9/4 from 19/4.

19/4 - 9/4 = 10/4

Now turn back into a mixed fraction, do this by putting 4 into ten twice and taking the remainder and putting it as numerator:

4 * 2 = 8

10 - 8 = 2

2 1/2

8 0
3 years ago
Order the following numbers from least to greatest.<br><br><br> 4.12310562562 4.5 4.23
Allisa [31]

Answer:

4.12310562562, 4.23, 4.5

6 0
2 years ago
Please help! ^^ <br>will give brainiest
ddd [48]
<u><em>3×10=30+1=31 is the true meaning and answer for this question.</em></u>
<u><em>Hope you good times!</em></u>
3 0
4 years ago
Read 2 more answers
Other questions:
  • If the measure of ÐDCB = 100°, and ÐDAC = 20°, what is ÐCAB?
    8·1 answer
  • Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal:
    5·1 answer
  • Look at the PDF then answer the questions -3-
    15·2 answers
  • 5. Which of the following represents the area of a rectangle whose length is 5x - 3 and whose width is x + 7? (1 point)
    6·1 answer
  • Jessie bought a t-shirt for $6. It was originally $8.What percent discount did she receive?
    11·1 answer
  • Plsss! help me will mark brainlest!
    9·2 answers
  • Trying to stop scam links!!! Please comment at https://brainly.com/question/23156931 (promise it's legit!) It is a petition...It
    12·1 answer
  • Heres TOBI EVERYONE!!!!!!!!! Cutest dog EVER!!!!!! Whats 9+45?
    5·2 answers
  • State if the two triangles are congruent. If they are state how you know.
    8·1 answer
  • PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!