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
allochka39001 [22]
3 years ago
14

Find the following quotient. (5−4i)/(5+4i) Answer in the form (a+bi)/c .

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{5-4i}{5+4i}=\frac{(5-4i)*(5-4i)}{(5+4i)*(5-4i)}\\\\

Now numerator is in the form (a - b)² & denominator in the form (a+b)(a - b)

(a -b)² = a² - 2ab + b²

(a + b)(a-b) = a² - b²

\frac{(5-4i)^{2}}{(5)^{2}-(4i)^{2}}=\frac{5^{2}-2*5*4i+(4i)^{2}}{25-16i^{2}}\\\\=\frac{25-40i+16i^{2}}{25-16*(-1)}\\\\=\frac{25-40i+16*(-1)}{25+16}\\\\=\frac{25-40i-16}{41}\\\\=\frac{9-40i}{41}

You might be interested in
What does "a"equal to?
slamgirl [31]
Distribute on the left side
7.4a+22.2=3.2a+43.2
Subtract 3.2a from both sides
4.2a+22.2=43.2
Subtract 22.2 from both sides
4.2a=21
Divide both sides by 4.2
a=5
5 0
3 years ago
Matt Kaminsky bought a Volvo that is 3 3/4 times as expensive as the car his parents bought. If his parents paid $8,000 for thei
Anna35 [415]
What we know... Parents car is $8,000 --- Volvo costs $8,000 x 3 3/4

3 3/4 is the same as 3.75 

$8,000 x 3.75 = $30,000

Matt Kaminsky's Volvo costs $30,000
5 0
3 years ago
Please help me, and please do not make a download, because I cannot download anything on my computer. THank you!!!
VikaD [51]

Answer:

(A)48

(B)volume of one of the small cubes is 1/64cm^3

c)3/4x1x1=3/4cm^3

Step-by-step explanation:

3 0
2 years ago
What is<br><img src="https://tex.z-dn.net/?f=1895%20%5Ctimes%20906" id="TexFormula1" title="1895 \times 906" alt="1895 \times 90
netineya [11]

Answer:

1895 x 906=

1,716,870

4 0
3 years ago
The line shown represents the amount of money Ben owes on his lunch account.
nasty-shy [4]

Answer:

y=2x-1

Step-by-step explanation:

Remeber to put no spaces on the test

and it is this answer bc he owes one dollar evryday and owing is negative

7 0
3 years ago
Other questions:
  • 0.005 write as a fraction
    12·2 answers
  • the opposing baseball team has nine players whose weights in pounds are 174, 177, 194, 162, 196, 169, 187, 192, 178. find the me
    6·1 answer
  • Subtract 12h+1 from 34h+4 . what is the answer? a.−1/4h+5 b.1/4h+5 c.−1/4h d.1/4h+3
    15·1 answer
  • -8+(-6)= -14 in words
    5·2 answers
  • A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0&lt;=t&lt;=60
    10·1 answer
  • The sum of three consecutive numbers is 51. What are the three numbers
    7·1 answer
  • the first image is the question the second is the answer, and i need the in between of how the heck do i do this. the final is t
    10·2 answers
  • Beth sold half of her comic books and then bought nine more. She now has 28.
    6·1 answer
  • _____5.Six times a number less four is equal to eight.​
    5·1 answer
  • Find the circumference. use 3.14 for π r=2 cm c=? c=π d<br> help please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!