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
Amanda [17]
3 years ago
14

If x = (10 − 3i) and y = (3 − 10i), then xy= and xy=

Mathematics
2 answers:
Darina [25.2K]3 years ago
5 0

Answer:

xy = -109i

Step-by-step explanation:

Given that:

x = 10 - 3i

y = 3-10i

where, i is the imaginary part

We have to find xy.

xy=(10-3i)(3-10i)

⇒(10-3i)(3-10i) = 30-100i-9i+30i^2

We know that: i^2 = -1

then;

⇒(10-3i)(3-10i) = 30-100i-9i-30=-109i

⇒xy =-109i

therefore, the product of x and y is, -109i

kipiarov [429]3 years ago
4 0

xy=(10-3i)(3-10i)=30-100i-9i-30=-109i

You might be interested in
What is the motion of a marry go round?
ValentinkaMS [17]

a marry go round goes in circulatory motion

7 0
2 years ago
Read 2 more answers
This one I can’t figure out! It has fractions too..
viva [34]

Answer:

3x+ 5 1/3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Whats 9801 divided by 99
GenaCL600 [577]
Its 1081

..............................
6 0
2 years ago
Read 2 more answers
Suppose m = 2 + 6i, and | m + n | = 3√10, where n is a complex number.
Ksju [112]

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

6 0
3 years ago
Someone help I don't get it
Gemiola [76]
The answer is the first choice. 
6 0
3 years ago
Other questions:
  • Suppose that 21 girls and 21 boys enter a mathemat- ics competition. furthermore, suppose that each entrant solves at most six q
    13·1 answer
  • darnells's car used 8 gallons of gasoline to travel 340 miles.After a mechanic worked on the car it used 7 gallons of gasoline t
    7·1 answer
  • Use inverse operations to solve the equation. -5x=65
    5·2 answers
  • Choose three intervals on the real number line that contain both rational and irrational numbers. Do you think that any given in
    15·1 answer
  • Find area of this figure 3 ft 4 ft 5ft
    9·1 answer
  • Select the correct answer. What are the roots of this quadratic equation? 3x^2 + 10 = 4x
    8·1 answer
  • Simplify the expression.<br> -2 + 2/5b - 1/4b +6=
    8·1 answer
  • MATH FINAL QUIZ i’m taking it rn so pls answer ASAP
    5·1 answer
  • R(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value
    14·1 answer
  • find the simple interest on a sum of rupees 2,000 at 11/2% per annum for 8 June 2015 to 19th August 2015​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!