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
MaRussiya [10]
3 years ago
11

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

Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer: a) √50

b) n = 1 + 7i

Step-by-step explanation:

first, the modulus of a complex number z = a + bi is

IzI = √(a^2 + b^2)  

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 + nI = 3√10

Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10

            = √(a^2 + b^2 + 40) = 3√10

             a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90

             a^2 + b^2 = 90 - 40 = 50

            √(a^2 + b^2 ) = InI = √50

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

now we can find any values a and b such a^2 + b^2 = 50.

for example, a = 1 and b = 7

1^2 + 7^2 = 1 + 49  = 50

Then a possible value for n is:

n = 1 + 7i

You might be interested in
The Super Shop and Save store had 120 gallons of milk placed on the shelf one night. During the next morning's inspection, the m
Sergeeva-Olga [200]
18 gallons of milk had passed the expiration date.

Explanation step by step

Multiply 120x 15%
Turn 15% into a decimal which is 0.15 so now it’s 120x0.15 which equals to 18.
8 0
3 years ago
Parker offers to pay for 5 of his friends to play laser tag, but 3 of them don’t want to play. Parker offers to pay for 5 of his
gtnhenbr [62]

Answer: B

Step-by-step explanation:

First, you have to find how many friends are playing. This can be found in the equation 5-3. Now you multiply by six to find the cost. If you chose C, that would be incorrect, because the () you would mltilply first (30) and then subtract 3 (27). You can also think of it as finding the cost of how much all of them want to play by using the distributive property, leaving you with 30 - 18, and subtract from there to get 12.

6 0
3 years ago
A line passes through (-6,-1) and (3,2).What is the equation of the line?
Lina20 [59]

Answer:

y = (1/3)x + 1

Step-by-step explanation:

You first find the slope:

(2 - (-1))/(3 - (-6)) =

3/9 =

1/3

This means the equation of the line is y = (1/3)x + b, where b is a real number.

Plug in either of the points to find the value of b:

-1 = (1/3)(-6) + b -->

-1 = -2 +b -->

1 = b

This means the equation is y = (1/3)x + 1

3 0
3 years ago
Read 2 more answers
Suppose that an individual has a body fat percentage of 14.5% and weighs 167 pounds. How many pounds of her weight is made up of
fenix001 [56]
167 divided by 100 = 1.67
1.67 x 14.5= 24.215
answer to nearest tenth = 24.2
3 0
3 years ago
Read 2 more answers
Help me please my iready
Mama L [17]

Answer:

Avery's mistake was adding the fractions together, she should've multiplied them together to get 3/8 square yards.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the slope of the line passing through the points<br> (-6,-5) and (4,4) ?
    7·1 answer
  • assume the age of night school students is normally distributed. A simple random sample of 24 night school students had an avera
    15·1 answer
  • Transactions to a computer database are either new items or changes to previous items. the addition of an item can be completed
    13·1 answer
  • Given the equation of the line y+3=4/5(x+10) what is the slope
    13·1 answer
  • Someone please help me:/
    11·2 answers
  • Pls I need help ASAP
    5·1 answer
  • There are 4people in a room, and we are curious whether two of them have theirbirthday in the same month. We record the quadrupl
    9·1 answer
  • Y= ___x+___ <br> the slope of the equation is__ ?
    13·1 answer
  • Please help me with this I’ll add you and give brainliest
    11·1 answer
  • Can you please help me with this I will mark the BRAINLIEST who ever can help thanks​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!