3 years ago

Write an equation of the line passing through point P (2,3) that is perpendicular to the time y-4=-2(x+3)

1 answer:

3 0

Perpendicular lines have a slope that is equal to the negative inverse.
Slope is m=-2 so the new slope would be m=-(-1/2)=+1/2

Then use point slope form y-y1=m(x-x1) to get

y-2=1/2(x-3)

y=1/2x+1/2

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kirza4 [7]

This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

OR VOLUME = 5612 ft³

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