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

Find the value of YZ

Answers

Answer:

YZ = 44

Step-by-step explanation:

Let the intersection of XW and YZ equal A. For this problem, we can use power of a point in the scenario where two secants intersect in the interior of a circle. We get the equation:

WA * AX = ZA * AY

We can substitute the values we are given to get:

(2x - 6)(21) = (x + 1)(30)

42x - 126 = 30x + 30

12x - 126 = 30

12x = 156

x = 13

Using segment addition postulate, we can say that:

YZ = YA + AZ

And we can plug in what we know from the diagram:

YZ = 30 + x + 1

We can also plug in the value of x, 13

YZ = 30 + 13 + 1 = 44

Math Question:
Pls help I will do anything

Answers

Answer:

The probability of spinning red is [tex]\frac{1}{3}[/tex], the probability of spinning a 1 is [tex]\frac{1}{6}[/tex], the probability of spinning an odd number is [tex]\frac{1}{2}[/tex], and the probability of spinning a 9 is 0.

Step-by-step explanation:

Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]. Since there are only one 1 tile, the probability of spinning a 1 is [tex]\frac{1}{6}[/tex]. Since there are three odd numbers, the probability of spinning an odd number is [tex]\frac{1}{2}[/tex]. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.

I am very confused- Can someone help within an hour-

Answers

Answer: 195 CM

Step-by-step explanation:

Volume: Length x Width x Height

“First we have to break it into 2 shapes”

“Let’s solve the top shape!!”

The length is 5 the width is 3 and the height is 4.

Volume = 5 x 3 x 4 = 60

Now the bottom shape

The length is 9 the Width is 5 and the Height is 3

The height isn’t given so we must do some math

Subtract the 7 from 4 = 7 - 4 = 3

Volume = 9 x 5 x 3 = 135

Finally, 135 + 60 = 195 cm

please do this <33333

Answers

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

Hank spins the spinner shown in the diagram 30 times. His results are as follows:
Yellow: 4
Blue: 7
Red: 5
Green: 6
Orange: 3
Purple: 5
What is the theoretical probability of landing on yellow?
A)
1/3
B)
1/6
C)
1/8
D)
2/15

Answers

It’s D) 2/15 I am 100% sure

please help, will give brainliest if right!

Answers

Answer:

a

Step-by-step explanation:

Find the value ot x to the nearest tenth. х 3 9 3​

Answers

x = √63
good luck :)))

expanding triple brackets i will give brainliest

Answers

Answer:

[tex]x {3}^ + 3x {2}^ - 10x - 24 [/tex]

hope it helps!!!!!!!!!!

Hi, thank you for helping people, have a good day/evening/night.

Answers

Answer:

thx you too

Step-by-step explanation:

Thank you and you’re welcome

Can someone please help me with math.

Answers

Answer:

17 is C

18 is add

19 is C

Step-by-step explanation:

Question 18 is worded a little weird.

so. (x^2)(x^3) = x^5, so you should add the expotents when you are multiplying them.

Joey has $350 in his bank account. He pays $15.50 each month for 6 months. 6 months is done how much does joey have in his bank account?

Answers

Answer:

Joey has $257 dollars after 6 months.

Step-by-step explanation:

6*$15.50 = $93

$350 - $93 = $257

Have a nice day! :-)

Answer:

he has 257 in his bank account

Step-by-step explanation:

[tex]15.5 \times 6 = 93[/tex]

[tex]350 - 93 = 257[/tex]

will name the brainliest

Answers

Answer:

where does the name come from?

Step-by-step explanation:

Answer:

x = 29.69

Step-by-step explanation:

Since the Adjacent side of the given angle 38, is given, and opposite needs to be found out, we will us the Tangent ratio:

Tan(38) = [tex]\frac{x}{38}[/tex]

=> To isolate x all by itself, multiply 38 from the right side of "=", on both sides;

Tan(38) * 38 = x

29.69 = x

Hope this helps!

please help me thank you and if you answer please answer my question cause some fo you'll be scamming me for points

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. 1cm = 20 yards

Step-by-step explanation:

Divide both by 18:

360/18 = 20

18/18 = 1

1cm = 20 yards

solve the equation 15s-100=350 to find the number of t shirts Rory sold

Answers

Answer:

s=30

Step-by-step explanation:

15s-100=350 =>15s=350+100 =>15s=450 => s=450/15 = 30 => s=30

Have a nice day !

since im too lazy to do this

order the points from least to greatest

here are the stuff roo put in least to greatest

-1/2
-1.125
0.375
1/2
-7/8​

Answers

Answer:

the answer is B

Step-by-step explanation:


a. This dot plot shows the ages of students in a swimming class. How many students
are in the class?

Based on the dot plot, do you agree with each of the following statements? Explain
your reasoning.

b. The class is an adult swimming class.

C. Half of the students are between 2 and 3 years old.

Answers

Answer:16 students and C is right

Step-by-step explanation:

Add all the dots to get the number of students. C is correct because it is ages in months,not years.

Answer:

bbbbbb

Step-by-step explanation:

b ba bbssnbsn ss

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

how do i find the missing length of a rectangel

Answers

It is pretty easy to find on the internet it should pop up as the first one.
Take the measurements of the length you know, multiply it by two, take the perimeter minus the length that was multiplied by two, take that number and divide it by two, and you get your answer.


Here’s an example that might help you-

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

When Natalie commutes to work, the amount of time it takes her to arrive is normally
distributed with a mean of 25 minutes and a standard deviation of 4 minutes. Using
the empirical rule, what percentage of her commutes will be between 17 and 33
minutes?

Answers

Answer: 95%

Step-by-step explanation:

On a number line, 6.26 would be located... choose all answers that make a true statement

A) between 6.25 and 6.27
B) to the right of 6.24
C) between 6.2 and 6.3
D) to the left of 6.21

Answers

Answer: A

Step-by-step explanation:

nwkwnajnana

Help me answer number 4

Answers

Answer:

45

Step-by-step explanation:

The answer is actually 45

MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.

Answers

Answer:

556.5 cm²

Step-by-step explanation:

Area of trapezium :

Area = 1/2 (a + b)h

a = base length 1

b = base length 2

h = height

From the information given :

Distance between MN and PQ = Height, h = 21 cm

Base MN, a = 28 cm

Base PQ, b = 25 cm

Hence,

Area = 1/2 (28 + 25) * 21

Area = 1/2 (53) * 21

Area = 556.5 cm²

A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?

Answers

Right angle because it has a 90° angle

please help for all equations please. use the pythagorean theorem!!! i will give brainlyiest to the most helpful answer

Answers

Answer:

Do 15^2 +10^2=c^2 than put answer Into \sqrt()

Step-by-step explanation:

Step-by-step explanation:

Ok, so the pythagorean theorem is  a^2 + b^2  = c^

where c is the hypotenuse and b and a are the the other 2 sides

9) 10^2 + b^2 = 15^2

100 + b = 225

-100       -100

b^2 = 125

sqrt of 125 = 5

b = 5

10) 2^2 + 5^2 = C^2

4 + 25 = c^2

sqrt of 29 = c

c = [tex]\sqrt{29\\}[/tex]

11)  42^2 + a^2 = 48^2

1764 + a^2 =2304

-1764            -1764

a^2 = 540

a = [tex]6\sqrt{15}[/tex]

PLEASE I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Answer:

Step-by-step explanation:

A

Answer:

96

Step-by-step explanation:

:)

You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?

Answers

Answer:

1/6

Step-by-step explanation:

I think it’s 1/6
I hope it’s help

first come first served brainiest *easy*

Answers

Answer:

15

Step-by-step explanation:

Answer:

7. Obtuse and 148 degrees

8. Acutes and 20

Step-by-step explanation:

ASAP

- How did you get the answer
- Will mark brianlist
- 15 points
- Thank u

Answers

Answer:

C this is because your asking people at random. this makes it so the numbers wont be so one sided because if you use any of the other option it favors one team over another

Step-by-step explanation:

how do i do this? please help with answer and explanation

Answers

Answer:

x=7

Step-by-step explanation:

180=25x+5

175=25x

7=x

Answer:

x = 7

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of all angles in a line is 180°.

Forming the equation,

→ (13x + 2) + (12x + 3) = 180°

Then the value of x will be,

→ (13x + 2) + (12x + 3) = 180°

→ 13x + 2 + 12x + 3 = 180°

→ (13x + 12x) + (2 + 3) = 180°

→ 25x + 5 = 180°

→ 25x = 180 - 5

→ 25x = 175

→ x = 175/25

→ [ x = 7 ]

Hence, the value of x is 7.

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