Plz help due tomorrow.

Mathematics

1 answer:

nlexa [21]3 years ago

6 0

So your equation will be:

2(x+6) + 2(x+2) = 2(x+4) + 2(2x-2)

First, divide everything by 2

x+6+x+2 = x+4+2x-2

Then, combine like terms

2x+8 = 3x+2

Move the variables (the x's) to one side and the numbers to the other by subtracting 2x from one side and then 2 from the other

6 = 1x or 6 = x

Now that you know that x = 6, you go back to Earl's length and width equations

Length = x+2
Width = x+6

And plug in the value of x you got (6)

Length = 6+2 = 8
Width = 6+6 = 12

There are you answers! Hope this helped! (remember to add units, in this case the units are feet)

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$