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valkas [14]
3 years ago
9

This graph shows a proportional relationship. What is the constant of proportionality?

Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

m = \frac{3}{4}

Step-by-step explanation:

Given

See attachment

Required

The constant of proportionality

Select two points on the graph

(x_1,y_1) = (0,0)

(x_2,y_2) = (4,3)

So, the constant of proportionality (k) is:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{3-0}{4-0}

m = \frac{3}{4}

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A circular go-kart track has a diameter of 75 meters. Approximately how long is the track? A225 meters B100 meters C750 meters D
worty [1.4K]

Answer:

<h2> 235 meters</h2>

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circular shape.

the problem also requires that we find the perimeter of the circular track

the expression for the perimeter of a circle is given as

C= 2\pi r

Given

diameter of the circular track = 75 meters

radius of circular track = d/2 = 75/2= 37.5 meters

Substituting our data into the expression for perimeter we have

C= 2*3.142 *37.5\\\\C=  235.65

<em>Approximately the length is 235 meters.</em>

8 0
3 years ago
M x 5 = 30<br><br> m = ?<br> A) 3 <br> B) 4 <br> C) 5 <br> D) 6 what the answer
bazaltina [42]

Answer:

M= D) 6

Step-by-step explanation:

just do 30 divided by 5=M

7 0
3 years ago
Read 2 more answers
Explain what it means for a solution of an equation to be extraneous.
HACTEHA [7]

Answer:

Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).

4 0
3 years ago
What is the equivalent ratio for6/9
otez555 [7]
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4 0
3 years ago
decided to purchase a new Toyota 4Runner for $25,635. you have promised your daughter that the SUV will be hers when the car is
Stella [2.4K]

Answer:

y = -3000x + 25,635

Step-by-step explanation:

well if the inital value of the car is $25,635 this means that when

x = 0   y = 25,635

(0 , 25635)

this will be our first point

Now if you tell us that in 1 year depreciate in value $3,000

this means thaw when

x = 1  y = 25,635 - 3,000

x = 1 y = 22,635

(1, 22635)

Now that we have 2 points we can have the equation

First we take the slope as follows

m = (y2 - y1) / (x2 - x1)

m = (22,635 - 25,635) / (1 - 0)

m = -3000 / 1

m = -3000

after calculating the slope we have to replace it in the following formula

(y - y1) = m (x - x1)

y - 25,635 = -3000 ( x - 0)

y - 25,635 = -3000x

y = -3000x + 25,635

Finally we replace the value of y by 10000

10,000 = -3000x + 25,635

10,000 - 25,635 = -3000x

-15,635 = -3000x

-15,635/-3000 = x

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These are the years it would take for the value to be 10,000

to know the days we simply multiply by 365

5.21167 * 365 = 1902.26      days

4 0
3 years ago
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