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

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!

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

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.

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.


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.  

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.

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

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!

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...

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.

HELP ASAP PLZZZZ, I’m begging!

Answers

Answer:

I think it's B

Step-by-step explanation:

I believe the answer is C

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

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

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

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.

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:

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

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

Equivalent fraction of 12/126

Answers

Answer:

2/21

Step-by-step explanation:

(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

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.

please help me for a question ​

Answers

What question do you need help with

Answer:

there is no question??

For the number line shown which statement is not true

Answers

upload the picture...

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

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

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...?

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

whats nine and 5 tenth in standard form

Answers

9 5/10, that’s 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

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