Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +
1 answer:
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Answer:
Step-by-step explanation:
The slope of the line joining the 2 points is a measure of the average rate of change.
Calculate slope m using the slope formula
m =
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 3, - 2)
m = =
=
← average rate of change
Answer:
Maximum volume = 649.519 cubic inches
Step-by-step explanation:
A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).
Volume is given by
V =
First, we differentiate V(x) with respect to x, to get,
Equating the first derivative to zero, we get,
Solving, with the help of quadratic formula, we get,
,
Again differentiation V(x), with respect to x, we get,
At x =
,
Thus, by double derivative test, the maxima occurs at
x = for V(x).
Thus, largest volume the box can have occurs when .
Maximum volume =