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
ololo11 [35]
3 years ago
10

Pt. 1 The result of adding a complex number to its conjugate is a.- a whole number b.-an integer, c.- a real number, d.- a pure

imaginary number Pt. 2 And the result of subtracting a complex number from its conjugate is a.- a whole number, b.-an integer, c.- a pure imaginary number, d.- a real number
Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

Step-by-step explanation:

A complex number is a number that has both real and imaginary part. An example of a complex number is z = x+iy where x is the real part and y is the imaginary part.

If z = x+iy, the conjugate of z₁ will be x-iy

adding the complex number to its conjugate will give;

P = z+z₁

P = x+iy +(x-iy)

open the parenthesis

P = x+iy+x-iy

collect like terms

P = x+x+iy-iy

P = 2x

We can see that the resulting value does not contain the imaginary number i, hence the result is a real number.

<em>Hence the result of adding a complex number to its conjugate is a REAL NUMBER</em>

<em></em>

Taking the difference;

P =  = z-z₁

P = x+iy -(x-iy)

open the parenthesis

P = x+iy-x+iy

collect like terms

P = x-x+iy+iy

P = 0+2iy

P = 2iy

We can see that the resulting value contains the imaginary number i, hence the of taking their difference is a complex number.

<em>Hence the result of subtracting a complex number from its conjugate is an IMAGINARY NUMBER</em>

<em></em>

You might be interested in
7 . Sampling distribution of the difference between two means A statistician is interested in the effectiveness of a weight-loss
UkoKoshka [18]

Answer:

0.229

Step-by-step explanation:

Given that the difference between the two sample means follows anormal distribution with a mean of11.00 and standard deviation equal to1.4387

A statistician is interested in the effectiveness of a weight-loss supplement. She randomly selects two independent samples. Individuals in the first sample of size n1 = 24 take the weight-loss supplement. Individuals in the second sample of size n2 = 21 take a placebo. Individuals in both samples follow identical exercise and diet programs. At the end of the study, the statistician measures the weight loss (in percent) of each participant.

We find that mean difference actual = 13-2 = 11

Probability that difference >12 =P(Z>\frac{12-11}{1.3487} \\)

=P(Z>0.742)=.0.229

3 0
3 years ago
Find the 8th term of the G.P 9,3,1,​
son4ous [18]

Answer:

a=9 , d=6 n=8

a+(n-1)d = an

9+(8-1)6 = an

9+7×6 = an

9+42 = an

51 = an

5 0
2 years ago
Mrs.Davis bought 6 pounds of grapes for 18 dallors at this rate how much would 72 ounces of grapes have cost
harkovskaia [24]

Answer:

Cost of 72 ounces of grapes is $13.5


Step-by-step explanation:

In order to solve his problem, we first need to get all the values in the same units.

  1 pound = 16 ounces

∴ 6 pounds= 16×6 = 96 ounces

Now by unitary method, we solve the question as follows:

price of 96 ounces of grapes = $ 18

price of 1 ounce of grapes = $ (18÷96)

∴ price of 72 ounces of grapes = $ [(18÷96)×72]

= (0.1875×72) =  $ 13.5

4 0
3 years ago
Please see questions below.
Norma-Jean [14]
The answer is C sin50...
6 0
3 years ago
The ratio of students who wear glasses to the total number of students in the class is 2:5 if there are 14 students who wear gla
vazorg [7]

Answer:

35 students in the class.

Step-by-step explanation:

If there are 5 students in the class, then 2 of them would wear glasses and 3 of them wouldn't. (Equation 1)

Now, there are 14 students how are wearing glasses.

We just times the whole Equation 1 by 7.

If there are 5 x 7 = 35 students in the class, then 2 x 7 = 14 of them would wear glasses and 3 x 7 = 21 of them wouldn't.

So, there are 35 students.

8 0
2 years ago
Other questions:
  • Which of the following functions has a nonlinear graph?
    8·1 answer
  • Please explain it and tell me how u got the answer<br> Thx
    6·1 answer
  • If Benito earns $187.50 for 12.5 hours of work, how many hours must he work to earn $465.00?
    15·2 answers
  • IF YOU ANSWER MY QUESTION ABOUT THE BUS FARE IN ATLANTA, THERE'S A 99 POINT REWARD!!!!!
    5·2 answers
  • Find the area of the smaller sector (please help me(​
    12·1 answer
  • A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
    12·1 answer
  • Help? <br><br> Describe how to translate the graph of y= x to obtain the graph of y = x – 15.
    9·1 answer
  • Can someone tell me what 5/9 + 4/6 = in fractions
    5·1 answer
  • 1.39/48= 0.028958333 rounded
    5·1 answer
  • Find the difference: -2-6
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!