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
Airida [17]
3 years ago
9

Please help simplify and write your answer in the form a + bi

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

2 - 4i

Step-by-step explanation:

\frac{10}{1 + 2i}  \\  \\  =  \frac{10}{1 + 2i}  \times  \frac{1  -  2i}{1  -  2i}  \\  \\  =  \frac{10(1 - 2i)}{ {1}^{2} -  {(2i)}^{2}  }  \\  \\   =  \frac{10 - 20i}{ {1} -  {4i}^{2}  }  \\  \\  =  \frac{10 - 20i}{ {1} -  {4( - 1)} }  \\ ( \because \:  {i}^{2} =  - 1)  \\  \\  =  \frac{10 - 20i}{1 + 4} \\  \\  =  \frac{5(2 - 4i)}{5}  \\  \\  = 2 - 4i

You might be interested in
Find the x.. please!!!
Scorpion4ik [409]

Answer:

Can you show the whole page we?

8 0
3 years ago
Compare the values 4x107 is what times as much as 4x103
dezoksy [38]

Answer:

10^{4}

Step-by-step explanation:

4 x 10^7 is 40000000

4 x 10^3 is 4000

We are told that 4x10^7 is something times as much as 4x10^3

So we will work backwards to find the answer,

If you divide 40000000 by 4000 you will get 10000

10000 is the same as 10^4

7 0
3 years ago
Read 2 more answers
The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the
Blizzard [7]

Answer:

14

Step-by-step explanation:

Given that:

Cost of purchase and installation = 5323.50

Cost per window = 230.25

Cost of installation = 2100

Hence,

Total purchase cost of windows alone :

5323.50 - 2100 = 3,223.50

Therefore, the number of windows purchased is :

(Total purchase cost of windows alone / price per window)

(3,223.50 / 230.25)

= 14

Hence, 14 windows was purchased

7 0
3 years ago
Write 140 as the product of its prime factors.
Romashka-Z-Leto [24]
140:\bold{2}=70\\\\70:\bold{2}=35\\\\35:\bold{5}=7\\\\7:\bold{7}=\underline{1}

so:

140=2\cdot2\cdot5\cdot7=\boxed{2^2\cdot5\cdot7}
6 0
3 years ago
Read 2 more answers
HELP PLEASE!! 30 POINTS!!
agasfer [191]
Your answer is A
hope this helped
to get this answer you multiply 475 by 1.75% and then you get 8.31
4 0
3 years ago
Read 2 more answers
Other questions:
  • Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same
    7·1 answer
  • Kia stuffs 228 envelopes in an hour. What is the average number of envelopes Kia stuffs per minute?
    12·2 answers
  • -2 + 6 < -10 What is the answer
    5·1 answer
  • The length of a rectangular frame is 8 cm more than the width. The area inside the frame is 65 square cm. Find the width of the
    15·1 answer
  • What times what equals = 98?
    11·2 answers
  • Use an example to describe the multiplicative relationship between two equivalent ratios.
    15·1 answer
  • What 14.10 subtract by 3.05​
    7·2 answers
  • Identify the x and y coordinates of the ordered pair (-5, 9)
    15·1 answer
  • Work out the value of x- pls I will give Brainliest!!!
    6·1 answer
  • What is the radius of a hemisphere with a volume of 281,250 2.14 cm^3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!