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
Effectus [21]
3 years ago
11

2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Mathematics
1 answer:
Talja [164]3 years ago
6 0

\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1

You might be interested in
What is the length of side BC? What is the length of side GH?
almond37 [142]
In this situation you would have to use ratios to figure it out.
AD over EH or 24/16 that would be equal to 1.5
This would show that BC over GF is also equal to 1.5.
6/4 is equal to 1.5.
Side length BC is 6
6 0
3 years ago
What is 7 less than y<br> In math
saw5 [17]

Answer:

The algebraic expression is "y - 7".

Step-by-step explanation:

"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".

5 0
2 years ago
Read 2 more answers
Help me with this please. Thanks!
horsena [70]
Cubic inch.
Proszę.
Myślę że pomoglem.
7 0
3 years ago
What is the simplified form of this expression? (0.2)^5
Sidana [21]
Its 0.00032 thats the answer
8 0
3 years ago
Florida has 8 less than 5 times the number of counties ,a, in Arizona. Georgia has 25 more than twice the number of counties, f,
dlinn [17]
F = 5a - 8
g = 2f + 25

so the expression for number of counties in Georgia is :
2(5a - 8) + 25 or if u need it broken down more, it is : 10a + 9
8 0
3 years ago
Other questions:
  • What is the value of x?
    15·2 answers
  • Containers of yogurt are on sale at 12 for $8.00. Use a ratio table to find the cost of 18containers of yogurt.
    12·1 answer
  • An object is moving at a speed of 32 yards per hour. Express this speed in feet per day.
    7·1 answer
  • What theorem or postulate can be used to justify that the two triangle are congruent? Write the congruence statement
    7·1 answer
  • After 1 month your $120 becomes $121.20. what is the yearly interest rate? ​
    7·1 answer
  • What is the difference of (-3x-9) and (-5x-2)
    14·1 answer
  • Grace scored n points in her first basketball game of the season. She scored 8 more points in her second game than in her first,
    14·1 answer
  • I think I know the answer but I want to be 100% sure so please help
    15·2 answers
  • Estimate 7 x 522 ...
    7·2 answers
  • D3<br> Find two numbers between 100 and<br> 150 that have a HCF of 22.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!