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
Can someone help me?
ryzh [129]

Answer:

C

Step-by-step explanation:

So this is transformations

So this seems like it was rotated 180 degrees then dilated by a scale factor

The rule for 180 degrees is (-x,-y)

The rule for dilations is (2x,2y)

So the answer should be

C. (-2x,-2y)

Have a nice day

7 0
3 years ago
Read 2 more answers
I move east a distance of 4km, south a distance of 2 km, and then west a dostance of 1km. What is the cartesian cordinates relat
mojhsa [17]

Answer:

In x: 4-1=3

In y: -2

Cartesian coordinates: (3,-2)

Step-by-step explanation:

If we move horizontally we must consider only the x axis, if we move to east it is positive, and if we move to west it is negative.

f we move vertically we must consider only the y axis, if we move to north it is positive, and if we move to south it is negative.

6 0
3 years ago
I. AM .SO. CONFUSED. HELP. PLZ.
dedylja [7]

Answer:

16mm

Step-by-step explanation:

Just do 40 * 2/5 = 80/5 = 16mm

3 0
3 years ago
X/9 times 15-47=28<br> help pls
DIA [1.3K]

Answer:

x=45

Step-by-step explanation:

Then,

x/5(15)-47=28

Step 1: Simplify the equation on both sides

x/9(15)-47=28

5/3x-47=28

Step 2: Add 47 to both sides

5/3x-47+47=28+47

5/3x=75

Step 3: Multiply both sides by 3/5

(3/5)*(5/3x)=(3/5)*(75)

x=45

4 0
2 years ago
The points plotted below are on the graph of a polynomial. Some of the roots to this polynomial are integers. Which of the follo
Vikki [24]
The only root is -2.  The roots are where the function goes through the x-axis.  This polynomial goes through in lots of places, but the only answer that matches is -2
8 0
3 years ago
Other questions:
  • I NEED HELP ASAP! THANKS! :)
    8·2 answers
  • Please help im really not good at these things ;( brainliest will be given
    5·1 answer
  • If you travel 90 miles in 1 ½ hours, what distances would you travel if you drove 6 hours?
    10·1 answer
  • Which equation has the steepest graph?
    5·1 answer
  • The distance between two towns,
    7·1 answer
  • Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temper
    8·1 answer
  • Version A
    11·1 answer
  • How would you solve this and what would the answer be? im very confused
    13·1 answer
  • $<br> 20,524,945,000,000 rounded to the nearest billion
    10·1 answer
  • A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!