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barxatty [35]
2 years ago
8

The owner of the Rancho Grande has 3,044 yd of fencing with which to enclose a rectangular piece of grazing land situated along

the straight portion of a river. If fencing is not required along the river, what are the dimensions (in yd) of the largest area he can enclose? shorter side? longer side? what is the area?
Mathematics
1 answer:
inysia [295]2 years ago
7 0

Answer:

Step-by-step explanation:

Area of the rectangular piece A = xy

x is the length

y is the width

Perimeter =2x+2y

Given

Perimeter = 3044yds

3044 = 2x+2y

1522 = x+y

x = 1522-y

Substitute into the formula for area

A = xy

A = (1522-y)y

A = 1522y-y²

To maximize the area, dA/dy must be zero

dA/dy = 1522-2y

0 = 1522-2y

2y = 1522

y = 1522/2

y = 761

Since x+y = 1522

X+761 = 1522

X = 761

Dimension is 761yd by 761yd

Area = 761×761 = 579121yd²

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Deffense [45]
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In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.

1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
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2. Slope = 1 ; Y-intercept = 2
y = mx + b
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y = 1x + 2
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The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.

Hope this helps!
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3 years ago
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Step-by-step explanation:

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3 years ago
Choose the correct correspondence.​
Alex

Answer:

B

Step-by-step explanation:

idk I think its correct

4 0
3 years ago
Please help will give brainliest.
Viefleur [7K]

Answer:

D

Step-by-step explanation:

a is false since x could be 0.

b is easy to check, just plug numbers in, and we can see that it's false(you would get 0+0=1 and -0-0=-1 once plugged in)

c is also easy to check, just plot the line or simplify the first equation. since (2x+2y)/2=4/2 is also x+y=2, the second equation is also x+y=2, so it must have infinitely many solutions.

d must be true due to process of elimination but let's check to make sure.

7y=14x, divide both sides by 7 to get y=2x and since they're the same equation it must mean that they have infinitly many solutions and we can see that it is correct

4 0
3 years ago
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Dvinal [7]
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Hope this helps
8 0
3 years ago
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