Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?
O Scale z by the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the modulus of w, then rotate counterclockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate counterclockwise by the argument of w.

Answers

Answer 1

Answer: C

Step-by-step explanation:

I just took the quiz and I got it right

Answer 2

Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.

What is Complex number?

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit

What is Modulus of a complex number?

Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin

Given,

Complex number z divides by a second complex number w

To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction

From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w

Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.

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Related Questions

PLEASE HELP
ILL GIVE BRAINLIEST

Answers

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

What is the value of y=-1/2x +5

Answers

There are three possible answers

 Slope = -1.000/2.000 = -0.500

 x-intercept = 10/1 = 10.00000

 y-intercept = 10/2 = 5

If this is helpful please mark brainliest. Have a great day

The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246

Answers

Answer:

Explained below.

Step-by-step explanation:

Consider the data provided.

(a)

Compute the mean of the data in seconds as follows:

Mean =AVERAGE(array)

         = 225.280 seconds

(b)

Compute the median of the data in seconds as follows:

Median =QUARTILE.EXC(array,2)

            = 229 seconds

(c)

Compute the variance of the data in seconds as follows:

Variance =VAR.S(array)

              = 1148.043 seconds

(d)

Compute the standard deviation of the data in seconds as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 33.883 seconds.

(e)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.755 minutes.

(f)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.817 minutes

(g)

Compute the variance of the data in minutes as follows:

Variance =VAR.S(array)

              = 0.319 minutes

(h)

Compute the standard deviation of the data in minutes as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 0.565 minutes.

Unpredictable numbers that are distributed over a certain range are ____.
A. Random numbers
B. Random equations
C. Random formulas
D. Tables of formulas

Answers

Answer:

random numbers

Step-by-step explanation:

because they are randomly picked

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

What is random experiment?

Random experiments are repeated multiple times to determine its likelihood.  

The number of times an experiment is repeated is better described as number of trials.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.

Unpredictable numbers that are distributed over a certain range are _Random numbers_.

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What is 2+2-2X2 divided by 2??

Answers

Answer:

0

Step-by-step explanation:

cause 2+2 is 4 and 2x2 is four and since u put - it take it away a then divide 0 by 2 u get 0

Find the measure of the missing angle

Answers

Answer:

M1=108° M2=72°

Step-by-step explanation:

M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°

how to find the area figure of square inches​

Answers

It is length times width in^3

Which expression is equivalent to 27 + 15?
1) 3(24 + 12)
2) 319 + 5)
3) 9(3 + 15)
4) 9(18+ 6)

Answers

1) 72 + 36
2) 27 + 15
3) 27 + 135
4) 162 + 54
Therefore 2 is equal to 27 + 15 because
27 + 15 = 27 + 15

A short quiz has two true-false questions and one multiple-choice question with four possible answers. A student guesses at each question. Assuming the choices are all equally likely and the questions are independent of each other, the following is the probability distribution of the number of answers guessed correctly. What is the Probability of two or more questions right? X 0 1 2 3 P(X) .1875 .4375 .3125 .0625

Answers

Answer:

[tex]P(X\geq 2) = 0.375[/tex]

Step-by-step explanation:

Given

X   ------0 --------1 -------- 2--------- 3

P(X) --.1875 -.4375 ---.3125 --- .0625

Required

Determine [tex]P(X\geq 2)[/tex]

This is calculated as:

[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]

[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]

[tex]P(X\geq 2) = 0.375[/tex]

Mike has at least 250 in his savings account.Which inequality represents this situation

Answers

What is the situation??

Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.

A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10

Answers

I’m pretty sure it’s A. Sorry if it’s not. :(

Answer:

A

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line y = x + 4?

The slope of the line is

Answers

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

PLEASE HELP
Select the correct answer from each drop-down menu. Options are (equal to, not equal to)

Answers

Answer:

Not equal to.

Step-by-step explanation:

Charlene and Gary want to make confetti. In order to get the right balance of ingredients for their tastes they bought 3 pounds of paper hearts at $2.46 per pound, 5 pounds of sparkling stars for $3.05 per pound, and 3 pounds of shiny coils for $2.33 per pound. Determine the cost per pound of the coffeti.

Answers

Answer:

0.712 cents per pound

Step-by-step explanation:

Since we are given the exact amount of each ingredient as well as the price for that amount then we simply need to calculate how much each pound of the confetti actually costs. We do this by adding together all of the pound of all of the ingredients and then adding together all of the costs. Lastly, we divide the cost by the total amount of pounds to find the cost per pound of the confetti like so...

3lbs. + 5lbs. + 3lbs. = 11 lbs.

$2.46 + $3.05 + $2.33 = $7.84

$7.84 / 11 lbs. = 0.712 cents per pound

Therefore, the cost per pound of the confetti is 0.712 cents per pound

Please help will MARK BRANLIEST!!
As part of a landscaping​ project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of​ low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these​ plants, how wide a strip around the flower bed should be prepared for the​ border?

Answers

Answer:

took me time to try and answer your question hope it proves helpful

Which of the following are like terms

Answers

Answer:

i would say a but i could be wrong

Step-by-step explanation:

your answer would be 3x and 6x

The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle.

Hint: Area of a rectangle = length × width.

Answers

Answer:

A = 6x² - 10x

General Formulas and Concepts:

Area of a Rectangle: Length × Width

To expand, use FOIL - First, Outside, Inside, Last

Step-by-step explanation:

Step 1: Define variables

l = 3x - 5

w = 2x

Step 2: Find area

Substitute:                   A = (3x - 5)(2x)Expand (FOIL):            A = 6x² - 10x

Answer: A=6x^2-10x ✅

Step-by-step explanation:

Hii, do you need to find the area of the rectangle? Let me help you out! (:

Luckily, there's a formula to find this! (:

Area

To find the area of a rectangle, multiply its length times its width. This is shown below.

[tex]\LARGE\boldsymbol{A=L W}[/tex]

Here, "A" denotes the area

"L" denotes the length

"W" denotes the width

NB : "L" and "W" are interchangeable

Next, it's just a matter of sticking in the known values...

[tex]\twoheadrightarrow\sf A=2x(3x-5)[/tex]

===> it's perfectly legal to stick in the values the other way around, because they are interchangeable

Alright, the next step is to multiply the values...

[tex]\twoheadrightarrow\sf A=(2x\cdot3x)-(2x\cdot(-5)[/tex]

Then we need to simplify...

[tex]\twoheadrightarrow\sf A=6x^2-10x[/tex]

Voila! There's the area of this rectangle! (:

Cheers! (:_______________

Hope I helped! Best wishes.

⚜ Reach far. Aim high. Dream big. ⚜

_______________

The sum of three consecutive odd integers is 18 less than five times the middle number fimd the three integers

Answers

Answer:

7, 9, 11

Step-by-step explanation:

x+x+2+x+4=5(x+2)-18

3x+6=5x+10-18

3x+6=5x+-8

3x=5x+-14

-2x=-14

x=7

(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)

Answers

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

An SEO account manager is concerned website developers are using too many keywords per web page. The SEO account manager would like to carry out a hypothesis test and test the claim that a web page has, on average, more than 10 keywords. Why is this hypothesis test right-tailed

Answers

Answer:

The hypothesis test is right tailed because of claim made by SEO account manager that a web page on average has more than 10 keywords.

Step-by-step explanation:

The given hypothesis test is right tailed due to the claim made by SEO account manager. The tail of hypothesis test decided by looking at alternative hypothesis. The claim stated as " a web on average has more than 10 keywords" and this leads to alternative hypothesis as

Ha:μ>10.

The alternative hypothesis shows the greater than area or also known as right tailed area. Thus, given hypothesis test is right tailed.

Find the value of x.

(A) 16 (B) 41 (C) 5 (D) 25 (E) 66

Answers

Answer:

D. 25

Step-by-step explanation:

D. 25 is the correct answer....Hopes it helps you....Hopes to get BRAINLIEST.. .

Thank you ☺️☺️☺️

In my opinion answer is 25 or D

7. A crew of electricians can wire 6 houses in 243 hours. How many hours will it take them to wire
13 houses?

Answers

Answer:

243*2=486

243/6=40.5 Or how many hour it would take to wire one house.

486+40.5=526.5Hrs

Describe the similarities and differences between a bar graph and a histogram.​

Answers

Answer:

Bar graphs are used with nominal or ordinal scores; histograms are used with interval or ratio scores.

Step-by-step explanation:

The function that represents the amount of caffeine in milligrams remaining

Answers

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.

Answers

Answer:

[tex]5\leq x\leq 40[/tex]

Here, [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far

Step-by-step explanation:

Number of cookies made by Walter so far = 15

He is asked by his coach to make at least 20 cookies but no more than 55.

Let [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.

The inequality is [tex]20\leq x+15\leq 55[/tex]

Now solve this inequality.

[tex]20\leq x+15\leq 55\\20-15\leq x\leq 55-15\\5\leq x\leq 40[/tex]

Answer: a

Step-by-step explanation: because its right

Which expression is equivalent to Y.Y.Y.Z.Z.Z.Z?
O y 24
O 12xy
o (yz)
07xy
HURRYPLEASEEEE

Answers

A y exponent 3 z exponent 4.

if you subtract 19 from my number and multiply the difference by -2​, the result is -8

Answers

Answer:cool

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

let the number be 'a'

-2(a - 19)= -8

open the brackets

-2a + 38 = -8

collect like terms

38 + 8 = 2a

46 = 2a

a = 23

PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?

Answers

Answer:

( c + a + s) = 5000

(10c + 20a + 15s) = 72000

c = 3s

Step-by-step explanation:

Number of tickets sold = 5000

Proceeds from ticket Sale = $72,000

Tickets for children 16 and younger = $10

Adults = $20

seniors 60 and older = $15

Let :

number of children, c ;

adults, a;

seniors, s,

There were 3 times more children than seniors at the concert ; c = 3s

Total number of attendees = 5000 ;

( c + a + s) = 5000

Total proceeds or revenue

(10c + 20a + 15s) = 72000

what is 2 times 4 time 2

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Explanation:

2 x 4 = 8

8 x 2 = 16


Solve -2(2x + 5) - 3 = -3(x - 1).

Answers

The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.

What is distributive property?

Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.

-2(2x + 5) - 3 = -3(x - 1)

To solve this equation, we need to first use the distributive property to expand the left side of the equation.

We have:

-4x-10-3 = -3(x - 1)

-4x-13 = -3(x - 1)

Now, we can group the like terms on the left side and the right side of the equation.

On the left side, we have -4x - 13 and on the right side, we have -3x + 3.

-4x-13 = -3x + 3

To solve for x, we can add 3x to left side of the equation and add 13 to the right side.

This results in the equation:

-4x+ 3x  = 13 + 3

Now, we can add 3x with -4x of the equation to isolate the x-term.

We have:

-x = 16

x = - 16

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