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Vsevolod [243]
3 years ago
15

Which table shows a proportional relationship?

Mathematics
2 answers:
swat323 years ago
8 0
Number 4 is proportionality relationship
sweet-ann [11.9K]3 years ago
3 0

Answer:

Table N 1

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In this problem the table N 1 represent a proportional relationship

Find the value of k

R/S=k

For R=5, S=1

substitute

tex]k=5/1=5[/tex]

For R=10, S=2

substitute

k=10/2=5

For R=15, S=3

substitute

k=15/3=5

For R=20, S=4

substitute

k=20/4=5

For R=25, S=5

substitute

k=25/5=5

the equation of the proportional relationship is equal to

R=5S

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Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

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3 years ago
356 I want the greatest odd number by using these num​
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Step-by-step explanation:

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