An engineer is designing a storage compartment in a space craft. The compartment must be 3 meters longer than it is wide, and its depth must be 1 meter less than its width. The volume of the
compartment must be 10 cubic meters. What is the width of the storage compartment?

a

step-by-step explanation:

a

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step-by-step explanation:

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b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b