Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4)
2 answers:
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14
An equation for the line of interest is ...
3x -y = 14
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14
An equation for the line of interest is ...
3x -y = 14
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3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
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Now in new solution there will be x+0.9 gallons of pure antefreeze.
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x+0.9 - 65%
or
Answer: he should add 3 gallons of pure antifreeze.