The graph of a proportional relationship will always be a straight line that passes through the origin. Why?

Answers

Answer 1

Answer:

Being proportional between two entities, refers to the 'Constant of Proportionality' that would be fixed between them which establishes a relationship between them when multiplied or divided.

If we considered it on a graph, the 'Constant Of Proportionality' may take any real values between the coordinate pairs x and y [x,y]. As even 0 is a real number, it will surely be a constant of proportionality when multiplied since its product would result in itself (0). Hence, both x and y turns 0.

As the coordinates of the origin are always (0,0), the graph  (Or the slope) would surely pass through the origin.

Example :

If we consider a graph such that x=y.

And if we multiply or divide any real number (a) between them.

ax=ay

As a is a variable, and can take the value of 0, the graph can pass through the origin as x and y nullify becoming the coordinates of the origin.


Related Questions

Which statement about the diagram is true

Answers

Answer:

AB have the length of 9

Step-by-step explanation:

5 is to short 14 is too long in between would be 9

Equivalent fraction of 12/126

Answers

Answer:

2/21

Step-by-step explanation:

HELP ASAP PLZZZZ, I’m begging!

Answers

Answer:

I think it's B

Step-by-step explanation:

I believe the answer is C

Jill walked 2 1/3 miles to the
treasure and then 1 3/4 miles back
to the boat. How many miles did
Jill walk in all?

Answers

2 1/3 + 1 3/4 = 4 1/12

4 1/12 miles in total.

Josie bikes 40 miles each month for five months she multiplies 40×5 what unit should she use for the product miles or months?

Answers

Answer:40x5 are the factors of every miles times each month so the units she should use is months

Step-by-step explanation: 40= (miles)

5=(months)

40*5 months all u have to is Multiples ur answer should be 200

For the number line shown which statement is not true

Answers

upload the picture...

whats nine and 5 tenth in standard form

Answers

9 5/10, that’s your answer

Which describes all decimals that are rational numbers?

Tbo dod

Answers

Answer:

Step-by-step explanation:

For starters, rational numbers are any numbers that has the capability to be written as a fraction.

For example, 0.5 is a decimal, and can also be written in form of a fraction, as 1/2

A recurring decimal can be written as a fraction. For example, we have 0.167 which can be written as 1/6

In the example, for the decimal 0.36425, we find the place value of the last digit. The last digit here is 5 placed in the hundred-thousandths place. On simplifying further into a fraction, we have 36425/100000.

Drag and drop the constant of proportionality into the box to match the table.

If the table is not proportional, drag and drop "not proportional" into the box.

x 0 2 4 6
y 0 3 6 9

Answers

Answer: it is NOT proportional

Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional

Answer:

2/3

Step-by-step explanation:

x adds by 2's: 0 2 4 6...

y adds by 3's: 0 3 6 9...

please help me for a question ​

Answers

What question do you need help with

Answer:

there is no question??

True or false the sum of two negative numbers is always negative explain why or why not this is true or false

Answers

Answer:

true

Step-by-step explanation:

Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account

Answer:

true!

Step-by-step explanation:

if you add negative numbers together, it will have to be negative because you are not adding positive numbers. same thing with positive numbers, if you add two positive numbers together, the sum will be a bigger positive number!

ANOTHER QUESTION PLEASE HELP

Answers

the answer is 4 your welcome

Answer:

c) 4

Step-by-step explanation:

Area of a square is its length times its length, or length²

Square root of 16 is 4

both the domain and range of the graph shown above is all real numbers.

true or false

Answers

Lol the answer is true

Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5 x 10^7. His teacher told him he was incorrect. Explain Jordan’s mistake and determine the correct answer

Answers

Answer:

345,000,000 =3.45 x 10^8

Step-by-step explanation:

To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. This is Jordan mistake, 34.5 is greater than 10. Which is incorrect!

explanation:

you have 345,000,000

Keep moving the dot till you have 3.45

Then count how many spaces you've moved

To get to 3.45, it took you 8 moves so you would have 3.45*10^8 as your answer

When do you draw a hole in a piecewise function?

Answers

Answer:

you just draw a circle indicating that it is a hole. Your welcome

The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity.
tan(x)sin(2x)
= tan(x)∙[2sin(x)cos(x)]
= StartFraction sine (x) Over cosine (x) EndFraction times 2 sine (x) cosine (x)
= 2sin2(x)
= 1 – cos(2x)
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify

Answers

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity

The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.

What is double angle identity?

The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)

Given

1 – cos(2x) = tan(x)sin(2x)

Taking R.H.S

tanx.sin2x

= tanx(2 sinx cosx)

2 sinx cosx is a double angle identity

= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]

[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent

= [tex]2sin^{2} x[/tex]

We have simplify by cancelling out cosx.

= 1 - cos(2x)

It is a double angle identity.

Find out more information about double angle identity here

https://brainly.com/question/1603716

#SPJ3

How many factors are in a B + CD + EF + GH

Answers

The given expression is

=ab+cd+ef+gh

The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction,  Multiplication and Division.

→The expression consists of four terms which are, ab, cd, ef, and gh.

→Each term contains

Two factors.

plz mark as brainliest

Select the correct answer.
Which system of equations is satisfied by the solution shown in the graph?

Answers

Answer:

i think letter D because it's same

Answer:

one solution

Step-by-step explanation:

write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
25, 16, 12
A) Yes
B No

Answers

Answer: No

Step-by-step explanation:

To find out if it is a right triangle then use the formula  a^2 + b^2 = c^2 where a and b are the legs which are the two small sides  and c is the hypotenuse the longest side.  Input the values for  a, b, and c and solve.

a = 12

b = 16

c= 25

12^2 + 16^2 = 25^2

144 + 256 = 625

   400 = 625

This means that it is not a right angle because 400 does not equal to 625.

f (x) = x squared What is f(x) + f(x) + f(x)?

Answers

Answer:

Step-by-step explanation:

fx^3

I think the Awnser is fx^3 I’m not sure

Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need

Answers

Answer: 7 boxes of pizza

Step-by-step explanation:

8x3=24

Answer:

David needs 3 pizzas.

Step-by-step explanation:

This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.

The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).

Answers

Answer:

125, 105, 120

Step-by-step explanation:

You would first make an equation with what you know:

x + 45 + x + 25 + x + 40 = 350.

Now, you would simplify and add like terms.

3x + 110 = 350

Now, you would subtract 110 from both sides.

3x = 240

Now, you would divide both sides by 3.

x = 80

Now that you know what x is, simply plug it in to the respective equations for all three sides.

x + 45 would become 80 + 45, and add up to 125.

x + 25 would become 80 + 25, and add up to 105.

x + 40 would become 80 + 40, and add up to 120.

To check your work, you would now add the three totals.

125 + 105 + 120 = 350.

Emily simplified this expression.



Expression: (5−2)2+23×4

Step 1: (3)2+23×4
Step 2: 9+23×4
Step 3: 9+9×4
Step 4: 9+36
Step 5: 45



Emily made a mistake. Which step shows her first mistake?


Step 1


Step 2


Step 3


Step 4

Answers

Step 2 since 3*2 equals 6


Which statements best describes the difference between interest and debt

Answers

Answer:

I think the answer is C, interest is a fee charged for borrowing money, dept is the total amount of money owed.  

Colin weighs himself at 60kg to the nearest kg.
What is the least he could weigh?

Answers

55 kg since 55 is the lowest number that can be rounded to 60

Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? NEED HELP PLEASE

Answers

Answer: What are the different offers...?

f(x)=4x^2+2x+6
What is the value of the discriminant of f?
How many distinct real number zeros does f have ?

Answers

Answer:

It has ZERO distinct real number zeros.

what's the way to finding a solution?​

Answers

-4x+(-5x)=180

-9x=180

x=-20
The answer is: -20

Hope it helps! All ya gotta do is add -4 and -5. Which is -9, and then you do 180 divided by -9 and it equals -20

Given the point and slope write the equation of the line (6, -6); slope = 5/6

Answers

Answer:

y=5/6x-11

Step-by-step explanation:

Slope intercept form: y=mx+b

With slope: y=5/6x+b

Replace x with 6 and y with -6

[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]

-6=5/6(6)+b

Simplify:

-6=5+b

Subtract 5 on both sides:

-11=b or b=-11

Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)

Hope this helps!

(QUICK DUE IN 50 MINUTES)

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Slope =2/3
70,80) (10,40)
(80-40)/(70-10) = 40/60
4/6
2/3
Other Questions
Which proportional statements are true for finding the value of x? Check all that apply. group of answer choices 6=916 6 x = 9 16 6=916 6 x = 9 16 616=9 6 16 = 9 x 616=9 6 16 = 9 x 96=16 9 6 = x 16 96=16 9 6 = x 16 9=166 9 x = 16 6 9=166 9 x = 16 6 9=616 Hi, this isn't a math question or anything. But I have a question about high schools. So I have all A's for my first marking period and one C for an enirchnment. But do you think I could get into a good high school like Central? Also, I'm not taking the PSSA or big tests. Also, I'm in 7th grade if your wondering. how does the nervous system send messages throughout the body I NEED HELP PLZ Read this excerpt from "The Spirit of Alcatraz."The name Alcatraz makes people all over the world think of the infamous prison that used to be there. But the small island in the San Francisco Bay has a different meaning for many American Indians, who see it as a symbol of freedom.Which part of the narrative structure does the author develop in this excerpt?the plotthe charactersthe settingthe conflict Simon wants to build a cube-shaped storage container that holds 125 cubic feet of water for some frogs he recently purchased.Using the formula, V=s3, where represents the volume of the container and represents its side length, find the length of one side of the container. There were 5 boys for every 8 girls at Foster High School last year. If there were 390 students at the school, how many were girls and how many were boys? which contribution did george childress make to the texas revolution ??a: he was chair of the convention of 1836.b: he was the first president of the republic of texas.c: he was the author of the texas declaration of independence.d: he was the commander-in-chief of the texas military Predict what would happen if chemical energy is burned?Energy is converted to mechanical energy.The amount of chemical energy starts to decrease.Energy is destroyed.Sound energy can be created through an explosion. perienceHow many significant figures does each of the following numbers contain?11. 163.89012. 0056013. 156, 10014. 906,30115. 6.022 x102316. 5.60 x 10-5Dorform the fol Joe has 80 video games and ally has 3 times as many.How many video games do they have in all? Mirror is my best friend, because when I cry it never laughs. Charlie ChaplinTrue friends silence hurts more than an enemys rough words.Its amazing when two strangers become best friends but its really sad when best friends become strangers.GOOD FRIENDS care for each other..CLOSE FRIENDS understand each other, But TRUE FRIENDS stay forever..beyond words, beyond distance, beyond time..!!Best friends share your happiness, but always try to take away your pain!Best Friend, thank you for standing by my side when times get hard, thank you for making me laugh when I didnt even want to smile.Fake friends are like shadows, they follow you in the sun but leave you in the dark.When a friend leaves you, you move on. But when a best friend leaves you, part of you is gone.The saddest thing about betrayal is that it never comes from your enemies.Weve gone our separate ways and I know its for the best, but sometime I wonder, will I ever have a friend like you again.When everything is lonely I can be my best friend. -Canor OberstAlways Remember..An idiot who makes you laugh in his presence, will definitely make you cry in his absence..Because, those idiots are our real friends..!!Promise me, you wont forget our laughs, our jokes, our smiles, our conversations, our plans, our tears, our memories, our experiences, our friendship.A best friend can tell you things you dont want to tell yourself.Friendship is not about who youve known the longest. Its about who walked into your life, said Im here for you and proved it.A real friend is the one who walk with you when everyone walks out.Best friends are someone who loves you when you forget to love yourself.Anyone can make you smile or cry, but it takes someone special to make you smile when you already have tears in your eyes.A best friend is someone who understands you a bit more than you understand yourself.Best friends are people who make your problems their problems, just so you dont have to go through them alone.True friendship isnt about being inseparable, its being separated and nothing changes.Sometimes we need someone to be there. Not to fix anything, but just to let us feel that we are cared and supported.I asked for light, god gave me the sun. I asked for water, god gave me rain. I asked for happiness and god gave you my friend.Walking with the friend in the dark is better than walking alone in the light.Best friends make the good times better and the hard times easier.You are my best friend, my other half. You mean the world to me and I love you.Friendship is like standing on wet cement. The longer you stay, the harder its to leave, and you can never go without leaving your footprints behind.Do not love a friend who hurts you..and do not hurt a friend who loves you!! Sacrifice everything for a friend, But do not ever sacrifice a friend for anything.A friend is someone who can see the truth and pain in you even when you are fooling everyone else.A good friend know all your stories. A best friend helped you write them.Sitting silently beside a friend who is hurting may be the best gift we can give.Hold onto your BEST FRIEND. Because I bet in an entire lifetime, you wont find anybody else like them.A friend who understands your tears is much more valuable than a lot of friends who only know your smile.Friendship is delicate as a glass, once broken it can be fixed but there will always be cracks.In the end, we will remember not the words of our enemies, but the silence of our friends.Distance is just a test to see how far our FRIENDSHIP can travel.Friends pick us up when we fall down, and if they cant pick us up, they lie down and listen for a while.When a woman becomes her own best friend, life is easier.If all my friends were to jump off a bridge, I wouldnt jump with them, Id be at the bottom to catch them.Best friends know you better than you know yourself, and never cease to understand you.who all have old friends like this If You are given 14 moles of C2H5OH(Ethanol) and 13 moles of O2( Oxygen), howmany moles of the limiting reactant is produce? C2H5OH + O2 -> CH3COOH +H2O a que vista del solido corresponde la figura 2 I WILL GIVE BRAINLY PLEASE HURRY!!Some towns have decided to bury their garbage to get rid of it. What is one harmful effect of this practice? PLEASE help me Im failing !! Leonard wants to buy some snacks at the FFA snack machine. He has $5.00 onhim and he wants to buy 2 beef sticks (.50 apiece), 2 crackers and cheese (.75apiece) and 2 chocolate milks ($1.00 apiece). How much change will he get back? Tom has a fair spinner with six sides. They are labelled red, red, blue, green, red, blue. Choose the word that best describes the likelihood that the spinner will land on a colour not green. When magnesium ribbon reacts with steam, a solid called magnesiumoxide and hydrogen gas are formed. Which of the following is the correctword equation?O magnesium + hydrogen -> magnesium + watermagnesium + water -> magnesium oxide + hydrogenO magnesium + water -> magnesium + hydrogenO magnesium + magnesium oxide -> hydrogen + water Madison is a high school basketball player. How many points would Madison score in a game if she made 8 free throws (worth one point each) and 6 three point shots?How many points would Madison score in a game if she made x free throws and ythree point shots? Most of the early settlements in Arabia were locatedA along the coasts.B along the rivers.C near the lakes.D on the southern border. 3) What challenges do you think the Louisiana Purchase in 1803 will bring to anew American nation?