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harkovskaia [24]
3 years ago
15

find an equation for the line through (4,7) with the given relationship to y=2x-4: a. parallel & b. perpendicular

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0
A.) Parallel lines has equal slopes, hence slope of required equation = slope of y = 2x - 4 = 2
required equation is y - y1 = m(x - x1)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 8 + 7
y = 2x - 1
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{-3 + 2 x + y = 0 | (equation 1)
{-1 + x + y = 0 | (equation 2)

Express the system in standard form:
{2 x + y = 3 | (equation 1)
{x + y = 1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:
{2 x + y = 3 | (equation 1)
{0 x+y/2 = (-1)/2 | (equation 2)

Multiply equation 2 by 2:
{2 x + y = 3 | (equation 1)
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Subtract equation 2 from equation 1:
{2 x+0 y = 4 | (equation 1)
{0 x+y = -1 | (equation 2)

Divide equation 1 by 2:
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A box with a square base and no top is to be built with a volume of 4000 in3. find the dimensions of the box that requires the l
vekshin1

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1
Alexxandr [17]

Answer: 1/5

Step-by-step explanation:

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Step-by-step explanation:

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