Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)? (–1 + i) + (21 + 5i) + 0 –1 + (i + 21) + 5i (–1 + 21) + (i + 5i) –(1 – i) + (21 + 5i)

Answers

Answer 1

Answer:

i think the answer is C, (-1 + 21) (i + 5i)

Step-by-step explanation:

i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!

Answer 2

The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is, (–1 + i) + (21 + 5i)

We have to find the expression that demonstrates the use of the commutative property of addition

According to the commutative property of addition, altering the order of addends has no impact on the sum.

Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

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Related Questions

For questions 13 - 14, determine which mappings are functions. please help, will give brainliest

Answers

Answer:

24

Step-by-step explanation:

The figure shows a line graph and two shaded triangles that are similar:

Which statement about the slope of the line is true? (1 point)

The slope from point O to point A is fraction 1 over 5 times the slope of the line from point A to point B.
The slope from point O to point A is five times the slope of the line from point A to point B.
It is fraction 1 over 5 throughout the line.
It is 5 throughout the line.

Answers

Answer:    The correct answer is B, the slope is -1/2.

Step-by-step explanation: I hope you have a blessed day. ;)

An increase divided by the run equals the slope: The rise and run of a line can be used to figure out its slope out of its graph, its value is [tex]\frac{1}{2}[/tex].

The slope of the line:

Given points:

Point A(4,2)

Point B(6,3)

calculate the slope value:

slope formula:

     [tex]=\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{2-3}{4-6}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]

Since all three aspects are all on the same line, their slopes will be the same. so, the slope value [tex]\frac{1}{2}[/tex].

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Plzzzz help you are in a sailboat race. the course is triangular,racing A-B-C- finish. by what angle do the sailboats need to change so that they can make it to the finish line.

Answers

It depends they are at the time your asking the question

Answer:

I'm going with the first one

Step-by-step explanation:

A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answers

Answer:

Step-by-step explanation:

From x = -2 to x = 0, the average rate of change for both functions is negative

The quadratic function, y = x2, has an x-intercept at the origin

For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

those 3 are good

The quadratic function, y = x², has an x-intercept at the origin is, TRUE

And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE

From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have;

When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.

Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.

And, Both are declining if you read the graph from left to right.

For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.

y = x²

If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3

For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.

If we insert 2 for x, we see that;

⇒  y = x² + 3

⇒  y = 2² + 3

⇒  y = 7

And, our y value in the point (2, 7) is 7.

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Please just try and help it’s due in 18 mins. I’ll mark brainliest. :)

Answers

16 miles
8 miles less
40 minutes
24 miles

How do you turn 8x-4y=20 into slope intercept form?

Please show me the steps

Answers

Answer:

[tex]y = 2x - 5[/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

We need to leave y-term as the subject of equation.

[tex] - 4y = 20 - 8x[/tex]

Move 8x to subtract.

[tex]y = \frac{20 - 8x}{ - 4} [/tex]

Pull the negative out of 4.

[tex]y = - \frac{20 + 8x}{4} [/tex]

Simplify

[tex]y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x[/tex]

Swap x-term and constant.

[tex]y = 2x - 5[/tex]

What is the difference of the polynomials?

Answers

Answer:

[tex]2x^{3} + 2x[/tex]

Step-by-step explanation:

[tex](x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)[/tex] --> Equation

[tex]x^{4} + x^{3} + x^{2} + x - x^{4} + x^{3} - x^{2} + x[/tex] --> Substituted the -1 on the second parentheses to successfully be able to subtract

[tex](x^{4} - x^{4}) + (x^{3} + x^{3}) + (x^{2} - x^{2}) + (x + x)[/tex] --> Combined Like Terms

[tex](0) + (2x^{3}) + (0) + (2x)[/tex] --> Simplified

[tex]2x^{3} + 2x[/tex] --> Simplified

Hope this helped! <3

x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x

the x^4’s cancel out and so do the x^2’s

2x^3 + 2x

hope this helps

HW HELP ASAPPP
+10PTS

Answers

Answer:

bruce

y = 1/4 x

Step-by-step explanation:

9 tiles per sq ft for felicia

so 1/9 sq ft per tile

so bruce covers more

1/9 square pile smiiiue keowieiehbe

All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there

Answers

Answer:

61 cabins

Step-by-step explanation:

Since Jim skipped 15 cabins and ended up sitting in cabin 2 that means he finished the number of cabins available and passed it by 2 cabins. Meaning that if we subtract 2 cabins from the 15 he skipped that would mean that from where Jack is sitting there are only 13 more cabins available. Now we simply add the 13 cabins to the number of cabins that Jack is sitting in to calculate the total number of cabins.

48 + 13 = 61

Step-by-step explanation:

62 cabins. Jack is skipping the next 15 cabins, so, in reality, you are adding 14 to 48.

A line passes through the point (0,2) and has a slope of -1/4. What is the equation of the line

Answers

Answer:

Step-by-step explanation:

use point-slope formula [y-y1 = m(x-x1) ] with the given info

P=(x1,y1) = (0,2)  and slope m = -1/4

y-2=-1/4(x-0)

y-2= -1/4x

now try to move things till you get the slope-intercept form [y=mx+b]

y= -1/4x+2

good all done :)

HELP!!!
Write the slope and a point from each of the given equations

1) y + 5 =-7/4(x-4)

Answers

Answer: x=

7

Step-by-step explanation:

wo mountain climbers start their climb at base camp, taking two different routes, one steeper than the other, and arrive at the peak at exactly the same time. Is it necessarily true that, at some point, both climbers increased in altitude at the same rate

Answers

Answer:

It is necessarily true necessary to increase the altitude at same rate

Step-by-step explanation:

According to questions the time take by both the climbers is same where as their distance traveled and velocity is different

Let time taken to complete the journey for both the climbers= t

therefore t = [tex]\frac{d_1}{v_1} = \frac{d_2}{v_2}[/tex]  where

[tex]d_1[/tex] and [tex]d_2[/tex] is the distance traveled by climbers

[tex]v_1[/tex] and [tex]v_2[/tex] is the respective velocity of climbers

So, it is necessarily true necessary to increase the altitude at same rate as the time taken depends on the ratio of their respective altitude with velocity

The two climbers arrived at the top of the mountain at the same time hence both climbers increased in altitude at the same rate.

Mountain climbers are people who ascend mountains. Usually, mountain climbers use steep routes. The altitude covered depends on the rate at which the altitude is increased.

Since the two climbers arrived at the top of the mountain at the same time, it then follows that both climbers increased in altitude at the same rate.

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Can someone tell me how to do a transversal angle measurement with steps and angles

Answers

Answer:

Sorry I am not sure but when I figure it out..... I prolly won't

Step-by-step explanation:

Answer:

 

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

Find the midpoint of points A(-8, 2) and B(-5, 10)

Answers

Answer:

-40×20

= -40/20

= -2

Step-by-step explanation:

WHAT IS THE SQUARE ROOT OF 100???!??!?!?!??! WILL MARK BRAINLIEST

Answers

Answer:

10

Step-by-step explanation:

This is one of the easiest equations to perform on a calculator and to memorize, as I had to do in 7th grade. Just remember that when you multiply anything by 10, including itself, you just add a 0 to the result. So, 10 * 10 = 100. 10 * 11 = 110. 10 * 12 = 120. And so on...

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

what is the area of the circle ​

Answers

Answer:

7850

Step-by-step explanation:

Answer:

7850 cm squared

Step-by-step explanation:

The formula for area of a circle is 3.14(r^2)

The radius is 50 cm.

3.14(50^2)

7850

SOMEONE PLEASE HELP ME
I have so much math to do, can someone please help me out by doing this.

Answers

Answer:

1-4

An exponent is the amount of times a number is multiplied by itself

Ex: For number 1, 43 is being multiplied 4 times so it would be 43 to the 4th power (43 with a 4 above, I can't really type it so I apologize)

5-10

You might or might not need a calculator especially for the decimal but you will input the number into the letter "n" and multiply that by itself however many number of times is on the exponent.

Ex: For number 5, n=8 to the 2nd power would be 64 because 8 × 8 = 64

And so on and so forth for the rest of the questions! If you don't understand I would highly recommend asking your teacher or looking up videos because I feel like that would help more than typing it out in words! Good luck though!

1, 172 2, 300 3, x3 4, p5

i will put the rest in the comments

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

Answers

Answer:

Total fine paid by Amelia =  £1.44

Step-by-step explanation:

Given that:

Number of days = 27 November to 12 December

Number of days = 16 days

Per day fine = 9p

Total fine = Per day fine * Number of days

Total fine = 9 * 16

Total fine = 144p

1£ = 100p

144p = [tex]\frac{144}{100}[/tex]

144p = £1.44

Hence,

Total fine paid by Amelia =  £1.44

ill give brailest


Read the excerpt below. Which of the following statements best summarizes the main idea of the excerpt?


In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes.


Elion believed that new drugs could be developed to help people.


Elion had to work for Hitchings because she was a woman.


Elion worked hard for more than 40 years to earn money for retirement.


Elion and her colleagues were responsible for developing important drugs.

Answers

D Elion and her colleagues were responsible for developing important drugs

Please help quick!!

Which expression is equivalent to
25?

- 2 + 2 + 2 + 2 + 2

- 5 + 5

- 2 · 2 · 2 · 2 · 2

- 5 · 5

Answers

the last one sorry i thought 5 was negative lol

Answer:

5 · 5

Step-by-step explanation:

2 + 2 + 2 + 2 + 2 = 10

5 + 5 = 10

2 · 2 · 2 · 2 · 2 = 32

5 · 5 = 25

Is (1, -7) a solution of y=x-8?
Νο
Yes

Answers

hi die cry why guy shy fiy

Answer:

Yes

Step-by-step explanation:

You just plug in the values.  [tex]-7 = 1-8[/tex]. You plug in 1 for x, and -7 for y

Which statement about rational numbers is true?
O All rational numbers are fractions.
O Rational numbers never have repeating decimals.
O Some integers are not rational numbers.
O All fractions containing integers are rational nurnbers.

Answers

Answer:
All fractions containing integers are rational numbers.

Explanation:

Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number

Look at pic and pls halp

Answers

70° because the angle between jk is 110 after subtracting 70 from 180. For angle 1, subtract 110 from 180 to get 70

A bag of marbles had 36 yellow marbles and the rest were green. For a game, 32 marbles were chosen from the bag. Of these 32 marbles chosen, 78 were yellow.
Use this information to answer the questions below.

If not enough information is given to answer a question, click on "Not enough information."

Question 1
How many yellow marbles were NOT chosen

Question 2
How many of the bags marbles were NOT chosen

Question 3
How many yellow marbles were chosen

Answers

Answer

Step-by-step explanation:

what method matters?

Answer:

46

Step-by-step explanation:

46+ 32= 78

40+30=70

6+2=8

70+8+78

DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and he wants to play no more than 3 hip-hop songs, how many different playlists are possible

Answers

Answer:

5878600 different playlists.

Step-by-step explanation:

Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.

Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.

Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.

So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!

So, the number of different playlists that can be formed is thus

⁷C₃ × ²⁰C₁₁ =  7!/4!3!.× 20!/9!11!

= 35 ×  167960

= 5878600 different playlists.

you will have amazing luck if you help me out trust

Answers

Answer:

x=29

Step-by-step explanation:

5x+30=175 because they are congruent

5x=145

x=29

what is least common multiple of 16 and 76​

Answers

Answer:

304

Step-by-step explanation:

Answer:

lcm(76,16) = 304

Step-by-step explanation:

The multiples of 76 are … , 228, 304, 380, ….

The multiples of 16 are …, 288, 304, 320, …

The common multiples of 76 and 16 are n x 304, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n  

​  

=0∈Z.

over a 5-year period.
Investment over
5 years
Value of investment (£)
1140
1120
1100
1080
1060
61040
1020
1000
0
0 1 2 3 4 5
Year

Answers

Answer:

Year 0 900$

Year 1 1000$

year 2 1080$

Year 3 61040$- (interest comes in)

Year 4 110000$

Year 5 152000$

Step-by-step explanation:

Make sure you put that interest comes in or you will be marked wrong.

You're welcome :D GoodLuck have a good day

6 lots of 3 is 6 more than 5 lots of 3​

Answers

No because 6*3 is 18 5*3 is 15 so it would be three more instead of five

8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work​

Answers

Answer:

Cory drove 56 miles.

Step-by-step explanation:

In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:

7 ^ 2 + 24 ^ 2 = X ^ 2

49 + 576 = X ^ 2

2√625 = X

25 = X

Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).

Other Questions
7th Grade Students in 7th grade took a standardized math test that they also had taken in 5th grade. The results are shown on the dot plot, with the most recent data shown first. Find and compare the means to the nearest tenth. 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Test Score 7th-grade mean: 5th Grade 5th-grade mean: What is the relationship between the means? 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Test Score Based on this map, why was Georgia greatly affectedby the boll weevil?O Boll weevils mostly feed on peaches, which werean important Georgia crop.O Boll weevils feed on cotton crops, and cotton wasproduced throughout the state.O Boll weevils are found mostly in coastal areas, suchas the Atlantic coastline.Boll weevils moved from the North to Georgia andother Southern states. you will have amazing luck if you help me Learning Task 1: Write and answer the following in your answer sheet1. Evaluate the following polynomials in your answer sheet.f(x) = x4 7x2 + 2x - 6x=1b. f(x) = 10x3 + 4x2 - 5x = -3f(x) = x4 + 5x3 - 2x + 3a.atatC.find (2))22. Factor each polynomial completely using any method(x + 1)(x2 5x + 6)b. (x2 - * - 6)(x2 + 6x + 9)x3 + 3x2 - 4x - 12a.C.LABAR Directions: Convert the following equations from standard form to slope-intercept form.(10 points)14. 4x + y = -115. 5x - 2y = 1416. 10x - 2y = -617. 8x + y = 1218. 6x - 10y = 20 What is the acceleration of an object that has a mass of 10kg and is pushed with a force of 50n Find the nth term of the sequence:9, 4, -1, -6, -11,............. Solve the equation. 2/3 t=4/5A. t= 2/15B. t= 8/15C. t= 1 and 1/5D. t= 1 and 7/15 PLEASE HELP ME WITH THIS TEST the LAST QATION AND I STUCK ON IT A rational numbers are ______ Integers System of Equations : Money Damian has been saving coins he finds on the ground for several months. So far he has found 37 coins that are either pennies or nickels. The combined value of his found pennies and nickels currently is $1.09. What is the system of linear equations, written using standard form, represents the situation if Damian found p pennies and n nickels. Which situation can be represented by the equation y=74x? The half of the Earth north of the equator is called the: northern, superior, eastern, top Hemisphere. Which activity describes an application of topographic maps? Check all that apply.O recreation, such as camping and hikingOengineering, such as the construction of roads and buildingsO science, such as mapping stars in the skyObusiness, such as analyzing population centersOscience, such as analyzing surface features 5(-6 + 4)=.................. What does the saying mean, An enemy of my enemy, is my friend? List some animals affected by soda cans and plastic bottles What has happened to many families when they can not make their mortgage payments? The radius of a circle is 1 centimeter What is the circle's area? ILL MARK BRAINIEST PLEASE GIVE EXPLANATION In "Mary Cassatt: Artist and Trailblazer," how does Vanessa Wright convey her viewpoint that Cassatt skillfully captures family andhome life in her art?wright describes a little girl in a blue armchair in detail wrightstates that cassatt had her own styles of paintingwright explains how Cassat did not paint typical subjects like most impressionistwright describes her Cassis relationship with her father influenced her work