Identify the real and imaginary parts of the given number. Then identify whether the number belongs to each of the following sets: real numbers, imaginary numbers, and complex numbers.

−9 + 9i
The real part of −9 + 9i is ____ and the imaginary part is ____.
The number −9 + 9i belongs to which of the following sets. Select all that apply.

A real numbers
B imaginary numbers
C complex numbers

See image.

Identify The Real And Imaginary Parts Of The Given Number. Then Identify Whether The Number Belongs To

Answers

Answer 1

Answer:

-9 is real, 9i is imaginary, C

Step-by-step explanation:

-9 is real because you can literally draw nine things.

9i is imaginary because i is √-1 and square roots of negatives are imaginary.

It is complex because complex expressios are written as a+bi.


Related Questions

PLEASE HELP
1. Select ALL expression(s) has a value less than 4?
A) |-8|
B) |6|
C) -10
D) |-2|

Answers

B is the right answer
The correct answers are C and D. When a negative number has an absolute value the number turns positive

|-2| means that it’s 2 units away from 0. -10 is also less than 4. |-8| is 8 and |6| is 6 which are both higher than 4. Thus, the correct answers are C and D.

I’ll be great if you guys can explain these questions I’ll give brainliest

Answers

Answer:

both yes

Step-by-step explanation:

from my understanding an order pair means the x values from all must never match so

Answer:

no is not pairs function

Carolyn was asked to solve the following system of equations. Her work is shown.




Correctly find the solution to the system of inequalities. Show your work for credit.

Answers

Answer:

(11, 13)

Step-by-step explanation:

Given,

3x - 2y = 7 => (eqn. 1)

y = x + 2 => (eqn. 2)

Substitute y = (x + 2) in eqn. 1.

3x - 2(x + 2) = 7

Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)

3x - 2x - 4 = 7 (-2*4 = -4 not +4)

x - 4 = 7

Add 4 to both sides

x = 7 + 4

x = 11

Substitute x = 11 in eqn. 2.

y = x + 2

y = 11 + 2

y = 13

Solution: (11, 13)

A summer movie club charges a $30 membership fee and then $5 per movie. Which equation can be used to find y, the total cost of the movie club, if x represents the number of movies watched. *

Answers

30+5x=y
X being the movies watched and y being the initial fee

Answer:

B: y = 5x + 30

Step-by-step explanation:

xy+xw+2ay+2aw
factorise this sum

Answers

Answer:

(y+w)(x+2a)

Step-by-step explanation:

im built different

Answer:

(x+2a)(y+z)

Step-by-step explanation:

x(y+z)+2a(y+z)

(x+2a)(y+z)

How do I solve this equation and find the solutions?

Answers

Answer:

x = 10

Step-by-step explanation:

x-sqrt(2x+5) = 5

2x+5 = 25-10x+x^2

x = 10

Hope this helped!

Answer:

x = 5

Step-by-step explanation:

x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)

(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²

x² - 10x + 25 = 2x + 5

x² - 12x + 20 = 0

(x - 10)(x - 2) = 0

[tex]x_{1}[/tex] = 10

[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )

10 - [tex]\sqrt{2*10+5}[/tex] = 5

10 - 5 = 5

5 = 5

find the y intercept

Answers

Answer:

(0,12)

Step-by-step explanation:

As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship.  That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.

what is vertibrates​

Answers

It is basically an animal which has a backbone that protects the spinal cord.

Nancy has to find the reflection of point A across the y-axis. In the graph, which point is the reflection of the point A across the y-axis? What are the coordinates of the reflection? In which quadrant is the reflection located?

Answers

Answer:

Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.

Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.

Step-by-step explanation:

(Got this right off Edmentum so it's correct)

(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)

Theratiooftheredcardstoblackcardsinadeckis3:10 2 more red cards are added to the deck.
The ratio of red cards to black cards is now 1:3 Work out the number of black cards in the deck.

Answers

Cant solve this question

Please please please please please help- will give brain

Answers

Answer:

Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.

Step-by-step explanation:

Graph them onto a graphing calculator. Let me know if you need more help!

2x/25 = 0.4/0.15. Please Help.

Answers

Answer:

x = 1.335

Step-by-step explanation:

2x = 10/3.75

2x = 2.67

x = 1.335

rewrite the equation by completing the square x^2-2x+1=0

Answers

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

If you have two points, you can only pick the first one to find the equation.

True

False

Answers

Answer:

well, it really depends but im pretty sure its false. you can start with either one and find the equation

Step-by-step explanation:

Solve 17 < 5x – 8 < 22. How many integer solutions are there?

Answers

Answer:

0

Step-by-step explanation:

To find the number of integer solutions there are to the inequality, we need to  separate [tex]x[/tex] so it is on its own.

[tex]17<5x-8 < 22[/tex] (given inequality)

[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )

[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )

Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].

Hope this helps :)

) Which property is used in the following expression ? (axb) x C = ax (b x) A. Distributive Property B. Associative Property of Multiplication C. Associative Property of Addition D. Commutative Property of Addition​

Answers

Answer: Associative Property of Multiplication

plz help
will give brallest

Answers

The answer is the 3 option. It’s the 3rd option because I ain’t never seen two pretty best friends, one of them always gotta be ugly

Answer:

your answer is the very first one

Step-by-step explanation:

La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 magdalenas. En cambio, la fábrica María Magdalena elabora el doble de magdalenas que la otra fábrica y las empaqueta en cajas de dos docenas. Sin hacer cálculos, ¿cuántas magdalenas le sobran a la segunda fábrica?

Answers

Answer:

5 magdalenas

Step-by-step explanation:

Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.

Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.

n/2 - 2 > 1
solve for N

Answers

Answer:

n>6

Step-by-step explanation

add two to both sides so far its n/2>3

multiply both sides by 2

n>6

The distance a truck travels varies directly with the number of hours driven. A truck travels 268 miles in 4 hours. If the truck continues to travel at this same rate, how long will it take the truck to go 938 miles?

Answers

Answer:

14hrs

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

Kenny wants to take his dog to obedience school. At sit and Stay School, 12
lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is
the better deal?
Dog Obedience Lessons
Location
Price
Sit and Stay School
$96/12 lessons
Canine Community Center
$125/25 lessons
Fill in the blanks to solve the problem.
304 QUESTIONS
The unit rate for lessons at Sit and Stay School is
$96 -96
12 lessons -12
$1
1 lesson
The unit rate for lessons at Canine Community Center is
Select
The lower unit rate is
Select
The lessons at
Select
are the better deal
SUBMIT​

Answers

Answer: See explanation

Step-by-step explanation:

At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:

= $96/12 = $8

At Canine Community Center, 25 lessons cost $125. The unit rate will be:

= $125/25 = $5

The better deal is at Canine Community as it's cheaper.

The unit rate for lessons at Sit and Stay School is $8 per lesson

The unit rate for lessons at Canine Community Center is $5 per lesson

The lower unit rate is $5 which is that of Canine Community.

The lessons at Canine Community are the better deal.

What is the solution to this equation? Show your work. -7n + 29 = -5(n - 7)

Answers

-7n + 29 = -5(n - 7)
-7n + 29 = -5n + 35
-7n + 5n = 35 - 29
-2n = 6 —> divide by 2
2 2 = (n= -3 <— answer )

What is a one-hundred sided polygon called? Why?

Answers

Hectogon

In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.

Step-by-step explanation:

Find the common difference of the arithmetic sequence 2, -3, -8,..​

Answers

Answer:

-5

Step-by-step explanation:

Each number is 5 less than the last.

-5. Each term is 5 less than the previous one

2 3/4 divided by 1 1/2

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1 5/6

Step-by-step explanation:

What is the value of x?
(6x + 109)
(x + 179)
(4x - 349)

Answers

9514 1404 393

Answer:

  17

Step-by-step explanation:

The two base angles are congruent, so we have ...

  x +17 = 4x -34

  51 = 3x . . . . . . . add 34-x

  17 = x . . . . . . . . .divide by 3

Need help anyone know this as well? Very confusing

Answers

I’m not 100% sure but I think it is 125

Answer:(maybe) 125°

Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?

Answers

Answer:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Step-by-step explanation:

Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:

[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:

[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]

That gives

[tex]\omega_1 = \frac{100Rad}{60s}[/tex]

Which gives:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex]

This is the angular velocity of the larger gear in rads/sec.

In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by

[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.

We are given the radius of the larger gear as 7ft so we have

[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]

To get the angular velocity of the smaller gear, we use

[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.

Since linear velocity is the same, we have

[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]

[tex] \omega_2 = \frac{35Rad}{12s}[/tex]

2x - y + 3 = -1
What is y & x?

Answers

Answer:

Slope=2

x−intercept=−  

2

4

​  

=−2

y−intercept=  

1

4

​  

=4.00000

Step-by-step explanation:

pls give two answers for good measure

Answers

Answer:

2nd answer choice.

Step-by-step explanation:

The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.

Step-by-step explanation: To solve for x in this inequality,

your goal is the same as it would be if you were solving an

equation, to get x by itself on one side.

Since 5 is being subtracted from x, add 5 to both sides of the inequality.

On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.

So we have x ≥ 3.

When graphing, start with a closed dot at +3 because x is

not just greater than +3, it's equal to it as well.

Then draw an arrow to the right, like I have done below.

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