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
astra-53 [7]
3 years ago
9

Which of the following numbers belong to the set of complex numbers AND The set of imaginary numbers? Select all that apply.

Mathematics
1 answer:
zvonat [6]3 years ago
8 0

A complex number is a number of the form a+bi, 

if b=0, that is if the number is a, then it is a Real number

if a=0, that is if the number is bi, then it is called an imaginary number.



All imaginary numbers are complex numbers.

Also, all real numbers (non-imaginary) are complex numbers.


Thus, all the numbers given are complex.

3i   :   imaginary

-5i :    imaginary

6-i:    complex

square root of 21: real, non-imaginary, complex

Negative square root of 16=-4:  real, non-imaginary, complex

<span>Square root of -14 = (square root of 14)i:   imaginary</span>
You might be interested in
<img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B8x%20%2B%2012%20%2B%204%20%3D%2010%7D%20" id="TexFormula1" title=" \sqrt{8x +
tiny-mole [99]

Answer:

x=3

Step-by-step explanation:

I am assuming that your equation is:

\sqrt{8x + 12}  + 4 = 10

Subtract 4 from both sides to get:

\sqrt{8x + 12}  = 6

Square both sides to get:

(\sqrt{8x + 12})^{2}  =  {6}^{2}

8x + 12 =3 6

8x =24

Divide both sides by 8 to get:

x =  \frac{24}{8}  = 3

6 0
3 years ago
Find the midpoint of the segment with the given endpoints.
soldi70 [24.7K]
Hey. :)

<span>Find the midpoint of the segment with the given endpoints. 
D(5, 1) and E(13, 11)

(9, 6)</span>
8 0
3 years ago
A new operation is defined by a△b=a^2-b/b-a^2. 4△3.
dmitriy555 [2]

As the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1

As per the question statement, we are given a new mathematical operation a△b=a^2-b/b-a^2 and we are supposed to find the value of 4△3 using the same operation.

Given, a△b=a^2-b/b-a^2

now 4△3 = (4^2-3) / (3-4^2)  

4△3 = (16-3) / (3-16)        

4△3 = 13 / -13  

4△3 = -1

Hence, as the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1.

  • Mathematical operation: An operator in mathematics is often a mapping or function that transforms components of one space into elements of another.

To learn more about mathematical operation, click on the link given below:

brainly.com/question/8959976

#SPJ1        

8 0
1 year ago
For the function F (X) = (x - 2)^2 + 4, identify the vertex.
VLD [36.1K]

Answer:

The answer will be D. (2,4)

5 0
2 years ago
The equation t^3=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
ankoles [38]

Answer:

     2√2

Step-by-step explanation:

We can find the relationship of interest by solving the given equation for A, the mean distance.

<h3>Solve for A</h3>

  T^3=A^2\\\\A=\sqrt{T^3}=T\sqrt{T}\qquad\text{take the square root}

<h3>Substitute values</h3>

The mean distance of planet X is found in terms of its period to be ...

  D_x=T_x\sqrt{T_x}

The mean distance of planet Y can be found using the given relation ...

  T_y=2T_x\\\\D_y=T_y\sqrt{T_y}=2T_x\sqrt{2T_x}=(2\sqrt{2})T_x\sqrt{T_x}\\\\D_y=2\sqrt{2}\cdot D_x

The mean distance of planet Y is increased from that of planet X by the factor ...

  2√2

8 0
2 years ago
Other questions:
  • Is f(g(13))? 16 26 32
    12·1 answer
  • Four bags of sunflower seeds were shared equally among 9 basketball players. What fraction of a bag did each player get?
    8·2 answers
  • 09-7.5<br> Help with math
    8·1 answer
  • What can go into 108
    11·1 answer
  • Josh wants to buy 15 pounds of shrimp and 10 pounds of crawdads. He has 4 buckets that can each hold 6 pounds. How many pounds o
    14·2 answers
  • ANSWER GETS BRAINLIEST!
    8·2 answers
  • Which constant term should be used to complete the square? <br> x^2-5x+__=7
    11·1 answer
  • Jacob had 15 apples and gave 10 to his brother. If he had 21 apples and wanted to give the same percentage to his brother, how m
    14·2 answers
  • PLEASE HELP, AND FAST! I WILL GIVE BRAINLIEST!!
    5·1 answer
  • Consider the numbers 6 and<br> √<br> 7<br> Which statement is true?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!