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
tatuchka [14]
3 years ago
9

Simplify 8 over the quantity of 2 plus 2i.

Mathematics
1 answer:
dexar [7]3 years ago
5 0

\dfrac{8}{2+2i}=\dfrac{8}{2(1+i)}=\dfrac{4}{1+i}=\dfrac{4}{1+i}\cdot\dfrac{1-i}{1-i}=\dfrac{4(1+i)}{1^2-i^2}\\\\=\dfrac{4(1+i)}{1-(-1)}=\dfrac{4(1+i)}{1+1}=\dfrac{4(1+i)}{2}=2(1+i)=2+2i\\\\Used:\\(a-b)(a+b)=a^2-b^2\\\\i=\sqrt{-1}\to i^2=-1

You might be interested in
What is the interquartile range of the data shown in the box plot? Please answer fast
cupoosta [38]
(First one)Low - 18
Q1 - 20
Median - 25
Q3 - 30
(Last one) High - 34
5 0
3 years ago
The level of CO2 emissions, f(x), in metric tons, from the town of Fairfax x years after they started recording is shown in the
Temka [501]
1) The average increase in the level of CO2 emissions per year from years 2 to 4 is:
Average=[f(4)-f(2)]/(4-2)=(29,172.15-26,460)/2=2,712.15/2=1,356.075 metric tons. The first is false.

2) The average increase in the level of CO2 emissions per year from years 6 to 8 is:
Average=[f(8)-f(6)]/(8-6)=(35,458.93-32,162.29)/2=3,296.64/2=1,648.32 metric tons. The second is false.

3) The average increase in the level of CO2 emissions per year from years 4 to 6 is:
Average=[f(6)-f(4)]/(6-4)=(32,162.29-29,172.15)/2=2,990.14/2=1,495.07 metric tons. The third is false.

4) The average increase in the level of CO2 emissions per year from years 8 to 10 is:
Average=[f(10)-f(8)]/(10-8)=(39,093.47-35,458.93)/2=3,634.54/2=1,817.27 metric tons. The fourth is true.

Answer: Fourth option: The average increase in the level of CO2 emissions per year from years 8 to 10 is 1,817.27 metric tons.
7 0
3 years ago
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Tems11 [23]
The answer is B. 5 hours.
7 0
2 years ago
Read 2 more answers
Kendra claims that the shape of the xylophone is a rectangle since there right angles and parallel sides is this right
Olin [163]

Answer:

No,as squares also follow those rules

Step-by-step

Please rate me the brainiest

4 0
2 years ago
(X+9)(x-2)-9x-6 equivalen to
Inessa [10]

Answer:

hrheje

Step-by-step explanation:

bdhsjsiskskdkdhdhennsjss

6 0
3 years ago
Other questions:
  • Show All Work
    7·1 answer
  • A pair of shorts costs $36. it is on sale for 25% off . what is the final price ?
    8·2 answers
  • Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?
    7·2 answers
  • Which step should be performed first wehn evaluating 18 minus 3 plus 11 times 2 plus 5
    9·1 answer
  • What is the equation of the following line?
    10·1 answer
  • Express (13/15 - 7/10) as a percentage​
    6·1 answer
  • How do u write 25% as a fraction or mixed number?
    5·1 answer
  • An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triang
    6·1 answer
  • Hhhhhhhhhhheeeellllpppppp me
    15·2 answers
  • The exchange rate at the post office is £1 = €1.17. How many euros do I get for £280?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!