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kondor19780726 [428]
3 years ago
12

A farmer wants to build a fence enclosing a rectangular region bordering a river. If the farmer has 500 feet of fencing, find th

e maximum area that can be enclosed.
Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer:

31,250 ft²

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the ends of the rectangle will have dimesion (500-x)/2, and the total area will be ...

... A = x(500-x)/2

This function describes a parabola with zeros at x=0 and x=500. The vertex (maximum) will be located halfway between these, at x=250.

The maximum size pen has area ...

... A = 250(500 -250)/2 = 31,250 . . . . sq ft

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Find f(-3).<br> f(x) = 4x + 7
solong [7]

Answer:

f(x) = 4x + 7

f(x) = 4(-3) + 7

f(x) = -12 + 7

f(x) = 5

3 0
3 years ago
Please help like right now​
liubo4ka [24]

Answer:

  1. y-intercept
  2. Slope
  3. rise over run
  4. negative
  5. positive
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Step-by-step explanation:

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5 0
2 years ago
How do you multiply 12x12 step by step?
geniusboy [140]

Answer:

144

Step-by-step explanation:

 

 12

X12

------

 

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

 

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 

 12

X  2

-----

 

Begin by multiplying 2 X 2 first, in the "ones" column.

 

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

 

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

 

2 X10=20

 

Place your 2 in the "tens" column--It should look like this...

 

 12

X  2

-----

 24

 

Since you are finished with the "ones" place, now you will work with the tens column.

 

put a zero under the 4 in 24.

 

then continue like this

 

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

 

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

 

If you have a times table, you can check yourself.

 12 X12=144

8 0
3 years ago
Read 2 more answers
Find area of the figure
kirza4 [7]

Answer:

70 sq. in

Step-by-step explanation:

Area of the figure

= ( 10 x 5 ) + ( 5 x 4 )

= 50 + 20

= 70

= 70 sq. in

7 0
2 years ago
I need to find the median ,mean,mode,range,and
Makovka662 [10]
Median: 23.5
12 and 35 are in the middle so you add them and divide by 2, leaving you 
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Mean: 41.3
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The number that appears most often. In this case, 99 would be the mode. 
Range: 98
The lowest number subtracted from the highest number. 99-1 equals 98.
IQR: 84.75

Hope this helped! :)

8 0
3 years ago
Read 2 more answers
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