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Svetllana [295]
3 years ago
13

the equation of the line / is -3y+4x=9. write the equation of a line that is parallel to the line / and passes through the point

(-12,6).
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Hey!

So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:

-3y + 4x = 9

-3y = -4x + 9

y = (4/3)x - 3

Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:

6 = (4/3)(-12) + b

6 = -16 + b

22 = b

Now that we know b, we have both the y-intercept and the slope so our equation would be:

y = (4/3)x + 22

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Answer:

x = 3 ± 2\sqrt{2}

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

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add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

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Rina8888 [55]
The formula in solving the area of a square is Area = a² where "a" is for the length of the side. The area formula in solving a cube is Area = 6a² where "a" is for the length of its side.
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The difference of side of the square and side of the cube is shown below:
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Step-by-step explanation:

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galina1969 [7]

Answer:

1/5

Step-by-step explanation:

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