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3 years ago

A medium-sized shipping box with side length s

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

Medium- sized box:

Side = s,
Volume = s^3

a) Large -sided box

Side = s + 3
Volume = (s + 3)^3

(s + 3)^3 =
s^3 + 9s^2 + 27s + 27

c) Small-sized box

Side = s - 2
Volume = (s - 2)^3 =
s^3 - 6s^2 + 12s - 8

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Step-by-step explanation:

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3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

Find the equation of the line passing through (4, 5) and parallel to

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$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

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$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

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Remember, if lines are parallel to each other, then their slope's the same.

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Replace numbers with letters, as follows:-

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Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

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Now, Add 5 on both sides:-

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<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

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