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PilotLPTM [1.2K]
2 years ago
6

You have 132 m of fencing with which to make 2 side by side rectangular enclosures against an existing wall. If the enclosures a

re adjacent and of the same depth, what is the maximum area that can be enclosed
Please answer ASAP will give out brainiest
Mathematics
1 answer:
Deffense [45]2 years ago
8 0
The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2

If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m

Try any other value for x and the area will be smaller.
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Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

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Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

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Plz Help I will give Brainliest Answer.
Anni [7]

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3 years ago
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mestny [16]

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Step-by-step explanation:

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The smallest sequence of repeating digits in the decimal equivalent of 5/9

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Hence, the number of digit in the smallest sequence of repeating decimal is 1

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Step-by-step explanation:

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Step-by-step explanation:

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