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2 years ago

The points -13 and 6 are plotted on a number line. What is the distance, in units, between the two points?

Mathematics

1 answer:

joja [24]2 years ago

8 0

19 units

Use the absolute value to find the difference between the values. This ensures that no matter which way round the calculation is done the result is the same

| - 13 - 6 | = | - 19 | = 19

| 6 - (- 13) | = | 6 + 13 | = | 19 | = 19

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Can some help me, please?

kkurt [141]

Since value of k is same for y/x for all values in the table so, y varies directly with x

And equation is: $y=-2.25\,x$

Step-by-step explanation:

We need to find if y varies directly with x from the values given in the table.

If y varies directly with x then we have the equation:

$y=k\,x$

where k is constant of proportionality

or we can write

$\frac{y}{x}=k$

If k is same for all values of x and y when (y/x=k) then we can say that y varies directly with x.

if x = -20 and y=45 then k is:

$\frac{45}{-20}=-2.25$

So, value of k is -2.25

if x = 1 and y=-2.25 then k is:

$\frac{-2.25}{1}=-2.25$

So, value of k is -2.25

if x = 12 and y=-27 then k is:

$\frac{-27}{12}=-2.25$

So, value of k is -2.25

Since value of k is same for y/x for all values in the table so, y varies directly with x

And equation is: $y=-2.25\,x$

Keywords: Direct Relationship

Learn more about Direct Relationship at:

#learnwithBrainly

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2x=y^2-10

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