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Define Length and Width
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Let the width be x
Width = x
Length = 2x + 5
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Form equation and solve for x
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x(2x + 5) = 63
2x² + 5x = 63
2x² + 5x - 63 = 0
<span>(x+7)(2x-9) = 0
</span>x = -7 (rejected, length cannot be negative) or 2x - 9 = 0
2x - 9 = 0
2x = 9
x = 9 ÷ 2
x = 4.5 ft
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Find Length and Width
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Width = x = 4.5 ft
Length = 2x + 5 = 2(4.5) + 5 = 14 ft
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Answer: Width = 4.5 ft , Length = 14 ft
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Answer:
35
Step-by-step explanation:
Solve the equation:
3e^(2x + 1) = 12
e^(2x + 1) = 12/3
e^(2x + 1) = 4
2x + 1 = ln(4)
2x + 1 = ln(2^2)
2x + 1 = 2 ln(2)
2x = 2 ln(2) - 1
x = [ 2 ln(2) - 1 ] / 2 <----- this is the answer.
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Checking:
2x + 1 = 2 ln(2)
2x + 1 = ln(4)
e^(2x + 1) = e^[ ln(4) ]
e^(2x + 1) = 4
3e^(2x + 1) = 3 * 4
3e^(2x + 1) = 12 (checked)
I hope this helps. :-)
Possible number of permutaions that the sum is 4 on two fair dice:
1 & 3
2 & 2
3 & 1
There are only 3 ways to make a sum of 4. Each cube has 6 digits. So, 6 x 6 is 36.
Answer: 3/36 or 1/12
Answer:
12250 ft²
Step-by-step explanation:
Let x represent the length of a partition. Then the total length of that and all of the fence segments parallel to it will be 5x. The length of the side of the rectangular area in the perpendicular direction will be ...
(700 -5x)/2
Then the total area of the 4 pens is ...
Area = (x)(700 -5x)/2 = (5/2)(x)(140 -x)
This function describes a parabola opening downward, with zeros at x=0 and x=140. Its vertex (maximum) will be halfway between those zeros, at x=70.
Then the maximum area is ...
Area = (5/2)(70)(140 -70) = (5/2)(4900) = 12,250 . . . . ft²