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
fenix001 [56]
3 years ago
6

Multiply and simplify the product.

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0

Answer:

14 + 22i

Step-by-step explanation:


lianna [129]3 years ago
5 0
Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.

Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:

(<span>3 – 5i)(–2 + 4i)  = -6 + 12i + 10i -20i²
</span>
Simplifying and applying i²<span> = -1:</span>
-6 + 22i - 20(-1)
-6 + 22i + 20
14 + 22i

Among the choices, the correct answer is B.
You might be interested in
What is the perimeter of a rectangle with a length of 23 mm and a width of 26mm
NISA [10]

Answer:98mm

Step-by-step explanation:

You add the length and width together and then multiply by 2

4 0
2 years ago
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?​
pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\

also

circumference=2*\pi  *radius(equation2)\\

Step1

replace the value of the circumference of tyler's bike in equation 2  and isolate radius to find radius

72 inches=2*\pi  *radius\\\\radius=\frac{72}{2*\pi  } \radius =11.46\ inches

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0
2 years ago
Read 2 more answers
On a cruise ship, 400 passengers are adults and 350 are children. What percent of passengers are adults?
kkurt [141]

Step-by-step explanation:

percentage of adults= number of adults over total number of persons times 100;

400/400+350*100

400/750*100

40/75*100

8/15*100

8/3*20

160/3

=53.3%

3 0
2 years ago
Write 7.5% as a fraction in lowest terms
denis-greek [22]
I believe the answer would be 3/40
3 0
3 years ago
Do the points lie on the line of the given equation. Y = -0.25 X. Show your work.
meriva
Yes all the points lay in the line.
Insert the x coordinate into x giving you your y
4 0
2 years ago
Other questions:
  • In a large population, 91% of the households have cable tv. A simple random sample of 144 households is to be contacted and the
    6·1 answer
  • How many three-letter sequences are possible that use the letters q,u,a,k,e,s at most once each?
    13·1 answer
  • Manuel worked 5 days a week, and 6 hours each day. That week he earned $337.50. What was his hourly rate of pay?
    5·1 answer
  • 1)a customer buys 2 shirts and pair athletic shoes. The shirts are priced the same. The customer spends a total of $95 .Write an
    14·1 answer
  • How would i solve this porportion problem. #20
    13·2 answers
  • Write an equation. A value x increased by twelve is equal to fifteen​
    5·2 answers
  • Pls help me solve 5.a and 5.b
    10·1 answer
  • Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2
    11·1 answer
  • Is It C? Or E? I’m in between.
    8·1 answer
  • A 1.5 kilogram lab cart accelerated unitorily from rest to a speed of 2.0 meters per second in 0.50 second What is the magnitude
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!