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3 years ago

11

PLEASE PLEASE HELP!!! i’ll give 5 stars for whoever gives the answer !! - Which expressions are solutions to the equation 3/4 x

= 15?
a
15/3/4
b
15/4/3
4/3-15
d
3/4.15
15-3/4

1 answer:

Naddik [55]3 years ago

6 0

Answer:

a

) 15 / (3/4)

Step-by-step explanation:

3/4 x = 15?

x = 15 / (3/4) = 15•(4/3) = 20

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A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

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Answer:

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Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

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Where L is the length and W the width, if we replace from the values on the figure we got:

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And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

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We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

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