Answer:
Length = 150 yards
Width = 100 yards
Step-by-step explanation:
We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.
It will take the shape of a rectangle, with a dividing fence down the center.
Let W and L, Width and Length of the larger enclosure.
See attachment.
W= Area of the larger enclosure.
The perimeter is 2W + 2L.
The dividing fence is 1W
We know that we only have 600 yards of fence, so:
2W + 2L + 1W = 600 yards
Area = W x L
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3W + 2L = 600 (yards)
2L = 600 -3W
L = (600-3W)/2
L = 300 -(3/2)W
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Use this expression in the Area calculation:
Area = W x L
Area = W x (300 -(3/2)W)
Area = 300W -(3/2)W^2)
To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.
Area' = 300 -2(3/2)W)
0 = 300 - 3W
3W = 300
W = 100 yards
Since 3W + 2L = 600
L = (600 - 3W)/2
L = (600 - 3(100))/2
L = 150 yards
Area = 150*100 = 15,000 yards^2
A because the alternate exterior angles equal each other
The GCF is 3*b = 3b
Step-by-step explanation:
The GCF is the Greatest Common Factor which will divide all the numbers whose GCF it is.
To find the GCF, we factorize the polynomials first
So,

We can see that only 3 and b are common in factors of both polynomials
So,
The GCF is 3*b = 3b
Keywords: GCF, Polynomials
Learn more about GCF at:
#LearnwithBrainly
Answer:
Following are the solution to these question:
Step-by-step explanation:
Please find the complete question in the attachment file.
Formula:


9514 1404 393
Answer:
13/8
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
