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Determine the equation of a line that is perpendicular to the line 2x+3y=7 and passes through the point (0,6)

What is the volume if the prism in terms of y?
1st dimension: 2y+1
2nd dimension: y
3rd dimension: y+3

1 answer

we need slope of 3/2, so the line is

y-6 = 3/2 x

prism: volume = (2y+1)(y)(y+3)

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