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3 years ago

How do I find the slope

Mathematics

2 answers:

natka813 [3]3 years ago

8 0

To find slope you need two points so in ur case (-7,11) and (-5,14) then you put them in the formula y2-y1/x2-x1 and with the two points your formula would look like 14-11/-5- -7 and when you solve it give you 3/2

Nataly [62]3 years ago

4 0

Slope= 3/2

CORRECT IF WRONG!!

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

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Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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How do I find the slope​

How do I find the slope