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
bija089 [108]
2 years ago
6

I) Express Z1 in polar Form a) Z1=1-(2-√3)i (complex number)

Mathematics
2 answers:
Marianna [84]2 years ago
8 0

Answer:

z_1=1-(2-\sqrt{3})i=2\sqrt{2-\sqrt{3}}[cos(\frac{23\pi}{12} )+isin(\frac{23\pi}{12} )]

Step-by-step explanation:

Recall that a+bi=r(cos\theta+isin\theta) where r=\sqrt{a^2+b^2} and \theta=tan^{-1}(\frac{b}{a}).

Since a=1 and b=-2+\sqrt{3}, then r=\sqrt{(1)^2+(-2+\sqrt{3})^2}=2\sqrt{2-\sqrt{3}} and \theta=tan^{-1}(\frac{-2+\sqrt{3}}{1})=-\frac{\pi}{12}=\frac{23\pi}{12}.

Therefore, z_1=1-(2-\sqrt{3})i=2\sqrt{2-\sqrt{3}}[cos(\frac{23\pi}{12} )+isin(\frac{23\pi}{12} )]

kicyunya [14]2 years ago
7 0

Step-by-step explanation:

hope it will help you thank you

You might be interested in
Enter the missing value into the box to complete the ratio comparing 75 centimeters to 3 meters. 1 to
Alex_Xolod [135]
The ratio for the problem above is one to four. A ratio is a relationship between number which describes how many times the second number contains the first number. The problem above gave two metric unit of length which are the centimeter and meter and the ratio between those two is one to a hundred. Therefore, we have a comparison between two amounts which are 75 and 300 and we can conclude a ratio of one to four.
5 0
3 years ago
Read 2 more answers
The graphs of the functions f(x)=|x-3| + 1 and G(x)=2x + 1 are drawn. which statement about these functions is true?
Roman55 [17]

The only true statement that compares the two functions is:

B: The solution to f(x)=g(x) is 1

<h3>Which statements are correct?</h3>

Here we have the functions:

f(x) = |x - 3| + 1

g(x) = 2x + 1

First, let's find the solution for:

f(x) = g(x)

|x - 3| + 1 = 2x + 1

|x - 3| = 2x

Notice that we have two options, x = 3:

|3 - 3| = 2*3

0 = 6  (x = 3 is not a solution)

And x = 1:

|1 - 3| = 2*1

2 = 2  (x = 1 is a solution).

Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;

f(1) = |1 - 3| + 1  = 2 + 1 = 3

The graphs intersect when y = 3.

Then we conclude that the only true statement is:

B: The solution to f(x)=g(x) is 1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

8 0
2 years ago
Kaylee has 2 gallons each of red and blue paint, and 1 gallon each of orange and green paint. She paints her bedroom with these
Aleks04 [339]

Answer:

3( 73/84 )left over

Step-by-step explanation:

She had 6 gallons in total

2/3+1/4+1/2+5/7=179/84   =  2 ( 11/84)

6/1-179/84 = 325/84    =  3(73/84)

She used  179/84

She have left 325/84

179/84   +  325/84 = 6

   With mixed numbers:

2  11/84  

3  73/84

 2+3=5                11/84+73/84= 84/84 =1

5+1=6

 

8 0
3 years ago
Hiiooo! Can someone please help with this!❤️:)
denis23 [38]
It will be 256.20 I hope I helped
8 0
3 years ago
Question 7 (1 point)
Otrada [13]

Answer:

(6, 9) (3, 0)

Step-by-step explanation:

Solve for each option using the slope formula:

Slope formula:

m = y2 - y1 / x2 - x1

m = 4 - 5 / 1 - 4

m = -1/-3

m = 1/3

This is not 3.

m = 0 - 9 / 3 - 6

m = -9 / -3

m = 3

This has a slope of 3!

m = 0 - 0 / -6 - 3

m = 0/ -9

m = 0

This is not 3.

m = 2 - 1 / 0 - 3

m = 1/-3

m = -1/3

This is not 3.

5 0
2 years ago
Other questions:
  • If set A = {3, 4, 7, 9} and if set D = {9, 4, 3, 7}, A = D.<br><br> True<br> False
    7·2 answers
  • sarah uses a recipe to make 2 gallons of her favorite mixed berry juice. two of the containers she plans to use to store the jui
    10·2 answers
  • The cube of a number decreased by two times the same number
    12·1 answer
  • Break apart ones to make a ten. Then add and write the sum. 62+9=
    9·1 answer
  • PLZ HELP ASAP, FIRST GETS BRAINIEST
    13·2 answers
  • Transversal / cuts lines a, b, c, and d.<br> Which two lines are parallel?
    5·1 answer
  • The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be
    7·2 answers
  • Insert 5 arithmetic means between -1 and 11
    10·1 answer
  • The high school took two field trips to the Newport Aquarium many many years ago. They used school buses and vans to transport a
    5·1 answer
  • Round up 395,621 to the nearest ten thousand
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!