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

Elena's father put $460 into a savings account for her. The account pays 2.5% simple interest each year. If he neither adds nor withdraws
money from the account, how much interest will the account earn after 4 years? Round to the nearest cent.

Answers

Answer:

$46

Step-by-step explanation:

Give that Elena's father put $460 into a savings account.

So, the principal amount, P= $ 460

Yearly simple interest , R= 2.5% = 0.025

Time, t = 4 years.

The interest, I, for the principal amount, P,  at the rate of R yearly, after t years,

[tex]I= P\times R \times t[/tex]

By using the given values, we have

[tex]I=460\times 0.025 \times 4 = 46[/tex]

Hence, the account will earn $46.

Find the slope of the following graph and Identify the type of
Slope:

Answers

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

This is collection of data made by comparing objects in standard units. In science, the units are metric.

Answers

Answer:

You didn't even write a question.

What’s the combined average of Altuve’s weighted average below:

Friday 3 for 5, Saturday 2 for 4, and Sunday 1 for 3

Answers

Answer:

The combined average of Altuve's weighted averages is 1 for 2 or 1/2

Step-by-step explanation:

Combined Average

On Friday, Altuve had 3 out of 5 successes

On Saturday, Altuve had 2 out of 4 successes

On Friday, Altuve had 1 out of 3 successes

The total successes are 3+2+1=6

The total tries are 5+4+3=12

The combined average is:

[tex]\displaystyle \bar x=\frac{6}{12}[/tex]

Simplifying:

[tex]\displaystyle \bar x=\frac{1}{2}[/tex]

The combined average of Altuve's weighted averages is 1 for 2 or 1/2

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x? X = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction

Answers

Answer:

[tex]x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}[/tex]

Step-by-step explanation:

The quadratic equation is as follows :

[tex]7x^2=9+x[/tex] ...(1)

The solution of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Equation (1) can also be written as follows :

[tex]7x^2-9-x=0\\\\7x^2-x-9=0[/tex]

Here, a = 7, b = -1 and c = -9

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s[/tex]

Neglecting negative value.

So, it will hit the ground in 1.2 s.

Answer:

D

Step-by-step explanation:

Edge 2021 hope this helps :)

If the original quantity is 17 and the new quantity is 33, estimate the percent change.

Answers

Answer:

The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.

Step-by-step explanation:

calculator lol

Write the missing number and name the
property
(733X5)×2= 733 x 5

Answers

Answer:

the missing number is 2

Step-by-step explanation:

Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)

Right side is 733*5.  Rewriting the expression this way makes it obvious that the missing number is 2.

Anthony earned $131 in tips last night while working at the restaurant. If his tips
consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?

Answers

Answer:21 5 dollar bills

Step-by-step explanation:

The code words u1 = 1101010; u2 = 0100010; u3 = 1100011; u4 = 0010100 form a basis for a (7; 4) linear binary code. (a) Write down a generator matrix for this code. (b) Construct code words for the messages 1001 and 0101. (c) Write down the parity check matrix for this code. (d) Find the syndromes for the received words 1110011; 1001010; 0001101; 1101010

Answers

Answer:

i believe QuickMAth or CalculatorSOup can help with this if nobody answers, sorry ik im taking points but its not letting me comment :/

Step-by-step explanation:

Name the coefficients in a +2a+3a-4a

Answers

Answer:

2,3,4

Step-by-step explanation: there next to veribuls

PLEASE HELP
Explain what is happening at this step in the solving equation process.
10 − 6 x = 4 + 5 x

7-6x=1+5x

3 ( 4 x − 3 ) = − 15

4x-3=5


5x/-3=12/1

5x=-36


−3 ( 4 x − 3 ) = − 15

4x-3=5

Answers

9514 1404 393

Answer:

3 was subtractedboth sides were divided by 3both sides were multiplied by -3both sides were divided by -3

Step-by-step explanation:

It looks like you have four different equations here.

As a rule, each step in the solution involves one of the properties of equality: addition, subtraction, multiplication, or division. These properties let you do the same thing (one of these operations) to both sides of the equation.

__

1. 10 − 6 x = 4 + 5x

  7 -6x = 1 +5x . . . . 3 was subtracted from both sides*

__

2. 3 ( 4 x − 3 ) = − 15

  4x -3 = -5 . . . . . both sides were divided by 3

__

3. 5x/-3=12/1

  5x=-36 . . . . both sides were multiplied by -3

__

4. −3 ( 4 x − 3 ) = − 15

  4x -3 = 5 . . . . both sides were divided by -3

_____

* For this equation it would have been more useful to subtract 4 to get ...

  6 -6x = 5x

Add 3 level scoops of mini chocolate chips and 1 level scoop of raisins to Container 1. If each scoop has the same number of items, what percent of the items in Container 1 are mini chocolate chips? (This value is known as the percent concentration of chips.) Explain how you decided. Label the container appropriately Answer: 50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50% Add 2 scoops of mini chocolate chips and 3 scoops of raisins to Container 2. What is the percent concentration of mini chocolate chips? Explain how you decided. Label the container appropriately. Stir the chips and raisins in each container to ensure that the chips and raisins are evenly mixed.

Answers

Answer:

Container 1  

The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.

Container 2

The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.

Step-by-step explanation:

Container 1  

Mini Chocolate Chips:  Raisins

3 scoops: 1 scoop

The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.

Container 2

Mini Chocolate Chips:  Raisins

2 scoops: 3 scoop

The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.

This is simplified with the help of the ratios . We find out the ratio of the mini chocolate to the total of both the ratios and mulitply it with 100 to get the percentage concentration.

estimate 1scoop chips and 2scoops rice percentage

Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.

Answers

Answer:

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                      | congruent, the quad. is a parallelogram.

Step-by-step explanation:

Step-by-step explanation:

Sorry I'm late I hope that helps:)

The formula P=0.6x-89 models the profit, P, in dollars, for a shoe shiner when he shines x pairs of shoes.Use the formula to find this shoe shiner's profit when he shines 800 pairs of shoes.

Answers

Answer:

do you still need help

Step-by-step explanation:

The ground temperature at an airport is 14 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers? The temperature outside a plane flying at an altitude of 5 kilometers is °C.

Answers

Answer:

-13 celsius

Step-by-step explanation:

5.4 * 5 = 27 degrees drop

14-27= -13

help please i need asap

Answers

Answer:

Yes, no, no, no, Yes

Step-by-step explanation:

so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else

Answers

Answer:

me!

Step-by-step explanation:

ME ASFFFFD IM FAILING TWO CLASSES

PLEASE HELP ME

An alloy is a mixture of metals.Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

Answer the questions below. Do not do any rounding.

(a) How many grams of copper are in the resulting mixture?

Il grams

(b) What percentage of the resulting mixture is copper?

Answers

Answer:

(a) How many grams of copper are in the resulting mixture?

= 160 grams

(b) What percentage of the resulting mixture is copper?

= 61.5%

Step-by-step explanation:

(a) How many grams of copper are in the resulting mixture?

From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams

(b) What percentage of the resulting mixture is copper?

70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is copper is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%

Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?

I NEED HELP!!

Answers

Answer:

15

Step-by-step explanation:

How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long? *

Answers

Answer:

the answer is 6

Step-by-step explanation:

Find what's 1/8 divided by 3/4 in fraction form?

step 1 Address formula, input parameters & values.

Input parameters & values:

1/8 and 3/4

Step 2: change the problem

Remember, always do KCF(Keep,Change,Flip)

First i keep 1/8

1/8 ÷ 3/4

Then I change the sign to multiplication because you need to need to find the answer and simplified it

1/8 x 3/4

Make sure u always flip the other fraction because you are multiplying

1/8 x 4/3

then you do the rest

Step 3:solve

1/8 x 4/3=4/24

Step 4: simplified

24/4=6

Now your answer is 6

Hope it helps :)

What is the value of -6^2? -12 36 -36 12

Answers

Answer and Step-by-step explanation:

Assuming the negative is with the 6, the answer will be 36.

When you square a number, you are essentially multiplying that number by itself, to the number of times the power is. In this case, -6 is multiplied by -6 and there is two of them.

#teamtrees #WAP (Water And Plant)

Answer:

12

Step-by-step explanation:

[tex]-6^{2}[/tex] = -6 × -6-6 × -6 = 12

I hope this helps!

32 is what percent out of 160

Answers

Answer:

20%

32 is 20% out of 160

Answer:

32 is what percent out of 160= 20

Step-by-step explanation:

32/160 * 100

Hope it helps!

HELPPPP plzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg

Answers

Oh wait I think I know the answer, c.

Answer:

C

Step-by-step explanation:

angle DAB = angle CBA

angle DBA = angle CAB

line AB = line AB

Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle

If g (x) = 3x – 2, find g (8) – g(-5)

Answers

Answer:

I hope this helps you with your question

1. The Table shows ticket prices for a concert. Child Student Adult Cost Purchased in Advance $6 $12 $18 Cost Purchased at the door $8 $15 $22 a. What is the average student ticket price? b. What is the average for a ticket purchased at the door? c. would adding the rows provide any meaningful information?​

Answers

Answer : Its $15

Step-by-step explanation:

Because thats the average price for a student.

I know its correct!!!

An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.

Answers

Answer:

Step-by-step explanation:

Let X denote the random variable that obeys the normal distribution.

Given that:

For morning flights

Mean [tex]\mu_1[/tex] = 15

standard deviation [tex]\sigma_1[/tex] = 5

Sample size [tex]n_1[/tex] = 10

[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]

The Z - score is calculated as:

[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]

[tex]Z = \dfrac{30 -15}{5}[/tex]

[tex]Z = \dfrac{15}{5}[/tex]

Z = 3

For evening flights

Mean [tex]\mu_2[/tex] = 20

standard deviation [tex]\sigma_2[/tex] = 3

Sample size [tex]n_2[/tex] = 10

[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]

[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]

[tex]Z = \dfrac{30 -20}{3}[/tex]

[tex]Z = \dfrac{10}{3}[/tex]

Z = 3.33

Hence, from the above z-scores, we will realize that the evening flight is more late than usual.

Can u explain to me how to do this :)

Answers

Answer:

you have to multiple it

Answer:

x = 35      y = 82

Step-by-step explanation:

all triangles add up to 180

the tick mark shows that 2x = y - 12

2x + 2x + 40 = 180

4x + 40 = 180

4x = 140

x = 35

y - 12 + y - 12 + 40 = 180

2y - 24 + 40 = 180

2y + 16 = 180

2y = 164

y = 82

Check:

40 + 2(35) + (82 - 12) = 180

Anyone know this one?

Answers

Answer:

120

Step-by-step explanation:

Find the slope and the y-Intercept of the line in the graph.

Answers

Answer:

I'm pretty sure slope is 4/1 and y-intercept is 3

Answer:

Slope: 4/1

Y-Intercept: (0,3)

Step-by-step explanation:

This should be the correct answer if the graph is in increments of one.

The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning​

Answers

Answer:

12+18x is the perimeter

Step-by-step explanation:

4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=

3(4+6x)=

12+18x

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