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2 years ago

A graph shows a proportional relationship. what is the constant of proportionality

Mathematics

1 answer:

kiruha [24]2 years ago

4 0

The constant of proportionality is known as the slope of the line.In the graph constant of proportionality is 1/2

<h3>What is constant of proportionality?</h3>

The constant of proportionality is known as the slope of the line.

Constant of proportionality is nothing but slope of a line

The formula for calculating slope is expressed as:

m = y₂-y₁/x₂-x₁

Given the coordinate points (2/3, 3/4 ) and (0,0).

y₂=0, y₁=3/4, x₂=0,x₁ =2/3

substitute the values of y₂=0, y₁=3/4, x₂=0,x₁ =2/3 in slope formula to get constant of proportionality.

The constant of proportionality is expressed as:

m = 3/4 × 2/3

m =6/12

m=1/2

Hence the constant of proportionality is 1/2

Learn more on constant of proportionality:

brainly.com/question/1835116

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A circular field has arey 144001 square feet.<br> What is the radius of the field?

anzhelika [568]

Answer:

about 214.1

Step-by-step explanation:

Since pi r squared is the formula for a circle's area, you would do the opposite. First, you would divide 144001 by pi which is about 45,836.94. Then, you would find the square root of that which is about 214.1.

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3 years ago

Find the seventeenth term of the arithmetic sequence -4, -9, -15

Rufina [12.5K]

When facing problems where you have to find a certain term of a sequence, look really closely for patterns. Some sequences have a really easy pattern like adding or subtracting numbers. Other sequences have more complicated patterns.

In this case, based solely on the three numbers you are given you can observe that the numbers are decreasing.

Here's what we can see so far:

To get from the 1st term to the 2nd term:
subtract 5 from the starting number
To get from the 2nd term to the 3rd term:
subtract 6 from the above result

Even though we only have a small piece of the pattern, let's try extending it! We're going to continue subtracting, but we're going to increase the amount that we take away every time.

Try solving it yourself before you look ahead! :)

So continuing the pattern:

Start at -4

To get from the 1st term to the 2nd term:
subtract 5
(-4 - 5) = -9

To get from the 2nd term to the 3rd term:
subtract 6
(-9 - 6) = -15

To get from the 3rd term to the 4th term:
subtract 7
(-15 - 7) = -22

To get from the 4th term to the 5th term:
subtract 8
(-22 - 8) = -30

To get from the 5th term to the 6th term:
subtract 9
(-30 - 9) = -39

[...continue this pattern until you reach the 17th term...]

Before you just write down the answer, make sure you do your own work! I calculated that the 17th term was -204.

Try practicing with some other sequences of numbers! You've got this!

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3 years ago

If x =2/3y and y = 18, what is the value of 2x - 3

Ulleksa [173]

2/3(18)
=12

x=12

2x-3
2(12)-3
24-3
21

4 0

3 years ago

Read 2 more answers

To solve 9x^2-12+4=49 by using the square root property, you would first rewrite the equation as

ale4655 [162]

Answer:

To solve 9x^2-12x+4=49 by using the Square Root Property, you would first rewrite the equation was as A. 9x^2-12x-45=0 B.(3x-2)^2=+/-49 C.(3x-2)^2=7 D.(3x^2)^2=49

Step-by-step explanation:

I believe thats what I found on a homework site. Tell if its true

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4 years ago

Factor 2m^3-12m^2+18m completely

Nina [5.8K]

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

$2 {m}^{3} - 12 {m}^{2} + 18m$