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3 years ago

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A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

1 answer:

liberstina [14]3 years ago

8 0

<span>A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
28-14
Find the slope, m: m = ------------ = 14/2 = 7
4-2

Now find the equation of this line by using the point-slope equation:
y-28 = (7)(x-4)

You could change this to point-slope form: y = 28 + 7(x-4), or y = 7x</span>

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Line D passes through the points (-2,5) and (-1,-9). what is the slope of a line parallel to line D?

Agata [3.3K]

If I am not mistaken, the slope would be -14.

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3 years ago

Prove the sum of three consecutive is divisible by three, that the sum of 5 consecutive integers is divisible by 5, but the sum

iren2701 [21]

Answer:

Proved

Step-by-step explanation:

Solving (a):

Let the numbers be: $x, x + 1, x + 2.$

Their sum is:

$Sum = x + x + 1 + x + 2$

Collect Like Terms

$Sum = x + x + x + 1 + 2$

$Sum = 3x + 3$

Divide sum by 3.

$Result = \frac{Sum}{3}$

$Result = \frac{3x+3}{3}$

$Result = \frac{3(x+1)}{3}$

$Result = x + 1$

<em>Hence, this is true because there is no fractional part after the division</em>

<em></em>

Solving (b):

Let the numbers be: $x, x + 1, x + 2,x+3,x+4$

Their sum is:

$Sum = x + x + 1 + x + 2+x + 3 + x + 4$

Collect Like Terms

$Sum = x + x + x + x + x+1 + 2 + 3 + 4$

$Sum = 5x+10$

Divide sum by 5.

$Result = \frac{5x + 10}{5}$

$Result = \frac{5(x + 2)}{5}$

$Result = x + 2$

<em>Hence, this is true because there is no fractional part after the division</em>

<em></em>

Solving (c):

Let the numbers be: $x, x + 1, x + 2,x+3$

Their sum is:

$Sum = x + x + 1 + x + 2+x + 3$

Collect Like Terms

$Sum = x + x + x + x + 1 + 2 + 3$

$Sum = 4x+6$

Divide sum by 4.

$Result = \frac{4x + 6}{4}$

Split

$Result = \frac{4x}{4} + \frac{6}{4}$

$Result = x + 1.5$

<em>The 1.5 means that the sum can not be divisible by 4</em>

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3 years ago

Find the perimeter of the polygon?

Black_prince [1.1K]

Answer:

A-15

Perimeter means- you add all sides up OR multiply.....

polygon has 5 sides and one side equals 3....

you can do 3+3+3+3+3

to find your answer or simply multiply 3*5

Your answer will be 3+3+3+3+3 or 3*5= 15

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Answer: I’m not smart sorry

Step-by-step explanation:

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3 years ago

QUICK HELP!! Will give brainliest!! Thank you

user100 [1]

3 is the y-intercept

and -6 is the x-intercept

usually they don't have y behind the y-intercept so usually its the one that doesn't have x, they usually only put x.

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4 years ago

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