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zimovet [89]
3 years ago
13

Find the equation of the line that is parallel to the graph of 2x-7y=8 and passes through (-1,-1)

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
Solve for y
-7y = -2x + 8
y = (2/7)x - 8/7

A parallel line has the same slope as the given line. The slope of the given line is (2/7)
 
y = (2/7) x + b Now we have to find b using (-1,-1). When x = - 1 so does y
-1 = ( 2/7)*(-1) + b
-1 + 2/7 = b
b = - 5/7

The line is 
y = (2/7)x - 5/7

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Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

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2) Now you have the condition that the height is 7 inches greater than the radius, that is:

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3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

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