Write the equation of each line in slope intercept form.

The constraint for the maximum enclosed area is the amount the farmer is

willing to spend on fencing.

The width of the plot that will give the most area, y = 83.[tex]\underline{\overline 3}[/tex] feet

The length of the plot that will give the most area, y = 125 feet

Reasons:

The given parameters are;

The cost of fencing per foot = $20

The maximum amount the farmer is willing to spend = $5000

Number of sides of fencing = 3 sides

Cost of the west side of the = Split with neighbor

Solution:

Let, y, represent the length of the fence, and let x represent the width of

the fence, we have;

Length of fence required = y + 2·x

Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x

Therefore;

Maximum amount to be spent on the fence, 5000 = 20·y + 30·x

[tex]\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x[/tex]

[tex]y = \mathbf{250 - \dfrac{3}{2} \cdot x}[/tex]

Area of a rectangle = Length × Width

The enclosed rectangular area of the fencing, A = y × x

[tex]\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2[/tex]

[tex]\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}[/tex]

The leading coefficient of the quadratic function of the area is negative,

therefore, the function only has a maximum point.

At the point of the most area, the slope, [tex]\dfrac{dA}{dx} = 0[/tex]

Finding the value of x at the maximum point, we get;

[tex]\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0[/tex]

Therefore;

[tex]\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}[/tex]

[tex]\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125[/tex]

The length of the plot that will give the most area, y = 125 feet

Learn more here:

https://brainly.com/question/16337916

https://brainly.com/question/16545343

Answer:

Rises 1 and runs -5

Step-by-step explanation:

The slope is 1/-5

Answer:

Elena is incorrect.

Step-by-step explanation:

In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.

If I'm correct, the scale copy should be 2.

∴/therefore, if it doesn't go through point D, Elena is incorrect.

Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯

-❤AbqveNatural❤

Answer:

answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

I think the answer is 3n+2.

Answer:

3n+2

Step-by-step explanation:

Step-by-step explanation:

1. 35.7/0.07=510

2. 486.12/0.6=810.2 approximately 810

3. 3.43/0.035=98

4. 5418.54/0.009=602,060

5. 812.5/1.25=650

6. 17.343/36.9=0.47 approximately 1

Answer:

um... okie

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42)  with the number of sides (6) and you get the length of one side (7)

42/6 = 7

Answer:

r=5.31

Step-by-step explanation:

A=π r²

88.42cm²=3.14r².................π =3.14

88.42cm²÷3.14=r²

r²=28.16cm²

r=5.31

Answer:

34

Step-by-step explanation:

f(-3) = -3(-3) +7

f(-3) = 16

g(3) = -7(3) +3

g(3)= -18

16 -(-18) = 34

Answer:

34

Step-by-step explanation:

f(x) = -3x + 7

f(-3) = -3(-3) + 7

= 9 + 7 (two negatives make a positive)

= 16

g(x) = -7x + 3

g(3) = -7(3) + 3

= -21 + 3

= -18

16 - (-18)

16 + 18 (two negatives make a positive

= 34

Hope this helps!

Answer:

1 1 0 0 1 1 (base 2)

Step-by-step explanation:

Do it as a common sum operation, remember that when you have 2 or more you need to carry over.

Answer:

31

Step-by-step explanation

16x0+2x2•y-1

ok now

16•2+2•2•2•4-1

wich is: 31

Answer: Both B and C

B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.

C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.

Step-by-step explanation:

B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.

C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.

Answer:

i think the answer to your question

1) 570

2)567.49

Answer:

Below!

Step-by-step explanation:

Answer/Explanation:

I agree with the statement because primary function of chemical nomenclature is to ensure that a spoken or written chemical name leaves no ambiguity concerning which chemical compound the name refers to: each chemical name should refer to a single substance.  The first separation of importance is to distinguish between inorganic and organic compounds.

[tex]\huge \bf༆ Answer ༄[/tex]

The slope of the marked line is " Negative "

Lines that make obtuse Angle with positive x - axis have a Negative slope.

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Answer:

3 = 9

Step-by-step explanation:

Simplifying 3 + -6a = 9 + -6a Add '6a' to each side of the equation. 3 + -6a + 6a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 0 = 9 + -6a + 6a 3 = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 = 9 + 0 3 = 9 Solving 3 = 9 Couldn't find a variable to solve for.

In order of smallest to largest.

1) -7.1

2) -4 1/3

3) -4/5

4) .889753

5) 11/12

6) 0

7) π

8) 3.28

Answer:

mixed no. 51/10

Improper fraction 5/1/10

Answer:he correct answers are 10.9 feet and 392.4 square feet.

Step-by-Step explanation:

Answer:

Apothem is 10.9 feet

Area of the gazebo is 392.4 feet

Step-by-step explanation:

Edge

-(m+n)+2(m-3n)

-m+n+2m-6n

-m+2m+n-6n

m-5n

Answer:

m -7n

Step-by-step explanation:

-(m+n)+2 (m-3n)​, distribute in the first parenthesis the -1 and in the second parentheses the 2

-m -n + 2m -6n , group like terms

-m + 2m -n -6n , combine like terms

     m     -7n

Answer:

12% of 315 is 37.8 :) Tag me if I'm wrong

Answer:

x = 37.80

Step-by-step explanation:

The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.

The given statement, "What number is 12% of 315" can be expressed algebraically as:

x = 0.12 × 315.

x = 37.80

Therefore, 37.80 is 12% of 315.

Answer:

Answer: A

Step-by-step explanation:

(go to attachment to see explanation)

hope this helped :D

[tex] \sf \: y = - \frac{1}{3} x + \frac{7}{3} [/tex]

hope it helps

Answer:

the length and width of rectangle could be (3cm and 7 cm ) & (1cm and 21cm) respectively.

Answer:

X is 38, y is 27.

Step-by-step explanation:

This is because you are subtracting on the 90 degree angles.

Answer:

The answer is 27 degrees for x, and 38 degrees for y.

Step-by-step explanation:

There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.

Answer:

No

Step-by-step explanation:

Not every parallelogram is a rhombus, though any parallelogram with perpendicular diagonals is a rhombus