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nirvana33 [79]
3 years ago
11

Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

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Answer:

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4 0
2 years ago
Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in
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Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

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Solution :

The thickness of shelf = \frac{95}{4} inches

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Let the total number of books that could be arranged in the shelf be 'n'.

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n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}

n=\dfrac{95\times 4}{5\times 4}

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