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
Verdich [7]
3 years ago
6

Please solve this question.​

Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=

\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}

You might be interested in
SOMEOME HELP this is my third time posting those SERIOUSLY HELP ME PLEASE
Hoochie [10]

The correct answer is C (7, 9)

Firstly we know that each point is 6 away from the other in terms of x and in terms of y. Now we also know that for every 6, we will be one away from point B and five away from point A. We know this because the ratio is AB 5:1, meaning that the 5 is on the A side (they both come first).

So, we can just add 5 to each of the A value numbers to get point P.

A = (2, 4)

P = (2+5, 4+5)

P = (7, 9)

6 0
3 years ago
A circle has a radius of 19 cm. Find the radian measure of the central angle that intercepts an arc of length 4 cm.
Alona [7]

Answer:

1134

Step-by-step explanation:

\pi \: radius  \: 2

=1134.114948

6 0
3 years ago
HELP!!!<br> y + 2 = 4/3(x - 7)
11111nata11111 [884]

Well I don't know if you are looking for the variable but here it is :)

7 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 0.52 - 5y = 9?
otez555 [7]
The slope is 0.1
To find a perpendicular slope, find the negative reciprocal.
The reciprocal of 0.1 is 10
The negative of 10 is -10
Final answer:-10
7 0
3 years ago
6 hm cubed to km cubed​
zvonat [6]

Answer:

0,006 I assume.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Simplify √ a^7 , where a&gt;0 Which expression is equivalent to √a^7
    14·1 answer
  • Fill in the blank. A​ _______ variable is a variable that has a single numerical​ value, determined by​ chance, for each outcome
    15·2 answers
  • -5 + 9(+8<br> can you help me work this out ??
    10·2 answers
  • A rug is priced at $239.99. There is a 7% sales tax.<br> How much is the tax on the rug?
    11·1 answer
  • What is the difference between 3/7 and 1/14 ?
    7·1 answer
  • Cassie's cat weight's 3 1/2 pounds. her dog weighs 4 times as much as her cat. how much does her dog weigh?
    6·1 answer
  • The equation of the line that passes through the points (-2,0) and (0,2) can be expressed in the form y=mx+b. What is the value
    5·1 answer
  • Ethan opens a new savings account.
    7·1 answer
  • 1
    11·1 answer
  • 65= t - 5 - 7 what is t
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!