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3 years ago

What is the equation of the line show In this graph? ASAP!! Please

Mathematics

1 answer:

n200080 [17]3 years ago

5 0

It is a horizontal line, therefore y=1

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A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the bin is constructed from 48 square feet of sheet metal, so:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, the dimensions of the largest volume of such a bin is:

Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

8 0

3 years ago

My brother is 5 years older than me. My sister is 3 years younger than me. a How old will my sister be when I am 17?

pentagon [3]

I think the answer is 14

8 0

3 years ago

What is the length of the conjugate axis? <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%5E2%7D%7B36%7D%20-%20%5Cfrac

LuckyWell [14K]

Answer:

the length of the conjugate axis is 16

Step-by-step explanation:

We know that the general equation of a hyperbola with transverse horizontal axis has the form:

$\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1$

Where the point (h, k) are the coordinates of the center of the ellipse

2a is the length of the transverse horizontal axis

2b is the length of the conjugate axis

In this case the equation of the ellipse is:

$\frac{(x-2)^2}{36} + \frac{(y+1)^2}{64} = 1$

Then

$b^2 = 64\\\\b = \sqrt{64}\\\\b = 8\\\\2b = 16$

Finally the length of the conjugate axis is 16

5 0

2 years ago

What is the quotient to the problem

Schach [20]

Answer: A quotient is the answer to a division problem. The divisor is the number of parts you divide the dividend by. The dividend is the number you are dividing .

Step-by-step explanation:

7 0

3 years ago

Fully factorise 8x+24

irinina [24]

8(x+3)
In this form, it is fully factored. All you need is a GCF, which is 8.
Hope this helps!

6 0

3 years ago

Read 2 more answers