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
Ne4ueva [31]
3 years ago
6

The result of adding a complex number to its conjugate is “an integer/a pure imaginary number/a real number/a whole number” and

the result of subtracting a complex number from its conjugate is “an integer/a real number/a pure imaginary number/a whole number”
Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

If Z is a complex number:

Z = a + b*i

where a and b are real numbers, and i is an imaginary number.

Then "a" is the real part.

"b*i" is the imaginary part.

The conjugate of Z is:

Zc = a - b*i

So the sign of the imaginary part changes.

Then:

Sum:

Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a

and remember that a is a real number, then 2*a is also a real numer.

The correct answer is "A real number".

Difference:

Z - Zc = (a + bi) - (a - bi) = 2b*i

and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"

You might be interested in
jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
wariber [46]
E(x) = 10x - 30

the y int is -30........that means her expenses for the week was $ 30
5 0
3 years ago
Read 2 more answers
1<br>Write the following:<br>a) 16 as a fraction of 152<br>b) 15 as a fraction of 210<br>​
erma4kov [3.2K]

Answer:

dddddweqwqq

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per
Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\

Using quadratic formula, we can solve this equation as:

\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\  x=-5850, x=850

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

8 0
3 years ago
Louis and Max are contestants in a jellybean-eating contest. Louis eats 18 jellybeans
Nezavi [6.7K]

Answer: They ate at the same pace.

Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.

18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.

Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)

8 0
2 years ago
4√45·2√12?<br> Help ASAP how do I do this will mark brainliest
Paraphin [41]
Multiply the numbers outside the square root together and the two square roots together to get a single term and simplify

6 0
3 years ago
Other questions:
  • PLEASE HELP ASAP!!!! WILL GIVE BRAINLIEST TO CORRECT OR FIRST ANSWER!!!!
    9·1 answer
  • Plzzzzzzz help right answer gets brainly
    10·2 answers
  • Find the product of 3a+5 and 2a^(2)+4a-2
    7·1 answer
  • Choose the system of inequalities whose solution is represented by the graph.
    13·1 answer
  • Find the sum of 9 and 20 on number line
    10·1 answer
  • What are the first 20 digits in TT(pi)
    6·2 answers
  • Does anyone know how to do this?
    14·1 answer
  • Why is it important that the instruction say to assume that no denominator equal 0
    5·1 answer
  • 2) A shirt costs $12.50 but there is a discount of 10%. The
    15·1 answer
  • Find the missing length
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!