Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.



Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.

a. What is the minimum value of the modulus of n?

√10

Provide one example of the complex number, n.



A = J → 2 + 6i

B = F →75

C = H → -3 - i

D = I → 1 + i

E = G → 5 + 5i

these are my matching pairs

Answers

Answer 1

Answer:

might be wrong but i think A

Step-by-step explanation:

Answer 2

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i


Related Questions

Multiply. Write your answer in simplest form. 3/8 x 5/7​

Answers

Answer:

3/8*5/7=15/56

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Answer:

ummm they have biography for them but i don't know they full answer

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

Answers

Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

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Answer:

2.41

Step-by-step explanation:

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Answer:

See the Answer Below:) I am certain this is the answer

Step-by-step explanation:

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you just add 8 + 8 + 8 it equals 24. rounded it will be 20

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im pretty sure thats how you do it if not sorry

Helen has 2 winter coats, 4 hats and 3 scarves. How many different outfit combinations does Helen have to chose from?

Answers

Given:

Number of winter coats = 2

Number of hats = 4

Number of scarves = 3

To find:

The total number of different outfit combinations.

Solution:

Number of winter coats is 2. So, the number of ways to select a winter coat from 2 coats is 2.

Number of hats is 4. So, the number of ways to select a hat from 4 hats is 4.

Number of scarves is 3. So, the number of ways to select a scarf from 3 scarves is 3.

So, the total number of ways is:

[tex]2\times 4\times 3=24[/tex]

Therefore, Helen have 24 different outfit combinations.

Can anybody do these for me hurry ?

Answers

Answer:

- Mode-The most repetitive number.

- Median:The number in the MIDDLE when they are IN ORDER.

- Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS.

- Range - THE BIGGEST minus the Smallest.

Step-by-step explanation:

;)

Answer:

mean: average of all the numbers, so add all numbers, divide by the amount of numbers you added

median: sort all the numbers from least to greatest, then the middle is the answer, if there are 2 in the middle, both are the answer

mode: the number that appeared most

range: the largest number minus the smallest number

Estimate the perimeter of the figure
The perimeter is about ____ units.

Answers

Answer:

18

Step-by-step explanation:

Do it by count how many side are there by the squares

Answer:

19

Step-by-step explanation

right on edge 2021

NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.

Answers

Answer:

[tex]140[/tex]

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

[tex]3a+b+3=2a+2b+6[/tex]

Solving, we will get a in terms of b:

[tex]3a=2a+b+3,\\a=b+3[/tex]

Now we can substitute a for (b+3) into our equation:

[tex]5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}[/tex]

Therefore, the length of each side of this polygon is [tex]5(4+3)-2(4)+1=28[/tex].

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The answer is 140
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What is the kinetic energy of a 500kg elevator that is moving at 16 m/s

Answers

Answer:

KE=4000J

Step-by-step explanation:

KE=1/2*mv²

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KE=4000J

What the measure of AB

Answers

Answer:

Since I don't know the accuracy of the diagram i would advise you to measure using a divider or a ruler.

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Andre can run 2 1/2 miles in 3/4 hour. Find his average speed in miles per hour​

Answers

Answer:

3 1/3 miles per hour

Step-by-step explanation:

's' = average speed

(5/2 ÷ 3/4) = (s ÷1)

(5/2 ÷ 3/4) = 10/3

10/3 = s/1

cross-multiply:

3s = 10

s = 10/3

s = 3 1/3 miles per hour

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1. -7/8
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3. -(-7/8)
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Answers

Answer:

A. The others are equivalent to 7/8

The diameter of a circle is 10ft. What’s its area and round to the nearest tenth

Answers

Answer:

A = 78.5 ft

Step-by-step explanation:

D=10ft

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R=5ft

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Answer:

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Step-by-step explanation:


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Answers

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

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Help Fast Show WORK and. NO links
5f = -75 check your solutio\

Answers

Answer:

f= -15

Step-by-step explanation:

u just have to divide

-75/5= -15  so f equal -15

Answer:

F=-15

Step-by-step explanation:

You want to get f by it’s self so to do that you would have to divide. So you would divide 5 by -75 to get -15 ( it’s a negative because a negative number divided by a positive number is a negative number). To check your math you would take 5 and multiply by -15 and that equals -75 (a negative number times a positive number is a negative number)

Help ASAP
2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work

Answers

Answer:

Step-by-step explanation:

will mark brainlyist if you give the right answer!!

Answers

Looks like it would be 120 because the side that’s not labeled would be 40. Then there is a square in the middle and squares have the same side lengths.

2 + 2 =?????????????????????????????????


BLAH

Answers

Answer:

4 lol

Step-by-step explanation:

free point

Answer:

answer: 2 + 2 = 4

Lol!!!!!!!

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Answers

Answer:

x = 6

Step-by-step explanation:

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Answer:

A) sin θ = 3/5

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Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

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Hypotenuse = 5

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Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

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tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

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sec θ = 1/(4/5)

sec θ = 5/4

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[7.EE.B.4B] - Aaron takes a cab home from the airport. The cab charges an
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Answers

y= 1.50x+ 2.25
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A bag contain 3 white balls, 4 blue balls and 2 red balls. Two balls are to be taken at random from the bag. The first ball is not replaced before the secod one is taken. Find the probability that

a) the first ball taken will be blue

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Answers

Answer:

a)the first ball taken will be blue

Ejercicio1:
Una tienda automotriz coloca los precios de los autos sin incluir el IGV. Si en un modelo de auto se indica 15000 dólares. ¿Cuál es el precio del auto incluido el IGV de 18%?
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Answers

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT =  15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

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Cost of car including VAT = $17,700

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Answers

Answer:

the answer is D.

can someone please help me

Answers

Answer:

B

Step-by-step explanation:

its a right angle and one point is 40 as shown already so 90-40=50 hope this helps

So you would take your 90° angle which is the box on the bottom right hand corner and add 40° which would equal 130° and then you would subtract 180° -130° and you would get 50°.

Please help
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Answers

Answer:

i cannot read the words

Step-by-step explanation:

2. 62.8 ft

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solve for x: 5·2^3x =21

Answers

Answer:

x = 0.69 is what i got

Step-by-step explanation:

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