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

Can someone help me shot this problem

Answers

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

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.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

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

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

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

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

Which fraction is equivalent to -(7/8)

1. -7/8
2. -7/-8
3. -(-7/8)
4. -(7/-8)

Answers

Answer:

A. The others are equivalent to 7/8

plz help!!!!!!!!!!!!!!

Answers

Answer:

the answer is D.

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

b) both balls taken will be blue

c) both balls taken will be the same colour

Answers

Answer:

a)the first ball taken will be blue

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

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°.

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%?
ayuda porfa

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

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700


Solve for X ...........

Answers

Answer:

x = 46

Step-by-step explanation:

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

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

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].

Since the perimeter of the polygon consists of all five sides, the perimeter is:

[tex]p=28\cdot 5 =\boxed{140}[/tex]

The answer is 140
Set the 2 sides lengths equal to each other. Solve for the variables. Then add all sides together, plugging in the values of the variables. The bottom side is the same as the 2 top sides (bottom side X 3)

HELP ME PLEASE DO THE ONE I ASK THE QUESTION IS THERE WITH THE PIC OF THE SQUARE!!!!!!!!!!!!!!!


I really needed help ASAP​

Answers

Answer:

There is no no pic of a square

Step-by-step explanation:

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:

HELPPPPPPPP Write the standard form of an equation

Answers

Answer:

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

Step-by-step explanation:

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

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

KE=1/2×500×16²

KE=250×16²

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.

Well ABC is a 90 degree angle, so maybe AB IS 80 and BC IS 10

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)

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

Answers

Answer:

3/8*5/7=15/56

What is the difference between -1.84 and -(4.25)

Answers

Answer:

2.41

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.

The line passing through the points (-3, 4) and (x, 2) is
parallel to a line that has a slope of - 2/9 What is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

I had this question on a test.

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

R=D/2

R=5ft

A=πr²

A=π5²

A=π25

A=78.53982

A=78.5ft

Please help
Question on image

Answers

Answer:

i cannot read the words

Step-by-step explanation:

2. 62.8 ft

3. 16 square inches

I really don’t get it

Answers

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

--------------------------------------------------

im pretty sure thats how you do it if not sorry

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


BLAH

Answers

Answer:

4 lol

Step-by-step explanation:

free point

Answer:

answer: 2 + 2 = 4

Lol!!!!!!!

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

solve for x: 5·2^3x =21

Answers

Answer:

x = 0.69 is what i got

Step-by-step explanation:

[7.EE.B.4B] - Aaron takes a cab home from the airport. The cab charges an
initial fee of $2.25 and another $1.50 for every mile they travel. Write an
inequality that could represent the distance they could go if Marvin has
$25.50. Use the variable x. *

Answers

y= 1.50x+ 2.25
the x would equal 15.5

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.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

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.

i’ll give brainliest please help!

Answers

Answer:

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

Step-by-step explanation:

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