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ASHA 777 [7]
2 years ago
10

Find an equation for the line with the given properties. Express your answer using either the general form or the​ slope-interce

pt form of the equation of a line. Parallel to the line ​; containing the point​ (0,0)
Mathematics
1 answer:
Vladimir [108]2 years ago
3 0

Answer:

y = 7x

Step-by-step explanation:

Complete question:

Find an equation for the line with the given properties. Parallel to the line 7x - y = -7; containing the point (0,0)

The equation of a line in point-slope form is expressed as;

y - y0 = m(x-x0)

(x0, y0) = (0,0)

Given the equation of the line as 7x - y = -7;

Rewrite and get the slope

-y = -7x - 7

y = 7x+7

Get the slope

mx = 7x

m = 7

Substitute into the equation

y - 0 = 7(x - 0)

y = 7x

Hence the required equation is y = 7x

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Find the values for a and b that would make the equality true.
Crank

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on the right side.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b

Comparing like terms with - 6x² + 12x - 15

x - term → - 3a = 12 ( divide both sides by - 3 )

                    a = - 4

constant term → - 3b = - 15 ( divide both sides by - 3 )

                               b = 5

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Number 5 is 110 degrees because it is the same angle as m<2.

Now, to find m<7
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Answers:
4. m<7= 70 degrees

5. m<8= 110 degrees

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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