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kozerog [31]
3 years ago
9

6y+2+9x how many terms are there in the algebraic expression

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer: 3

Step-by-step explanation:

6y (1)

2 (2)

9x (3)

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Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest
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Perimeter: P=62 feet
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Dividing both sides of the equation by 2:
62/2=2(b+h)/2
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Area: A=bh   (2)

Isolating h in equation (1)
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Replacing h by 31-b in equation (2)
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To maximize the area:
A'=0

A'=(A)'=(31b-b^2)'=(31b)'-(b^2)'=31-2b^(2-1)→A'=31-2b

A'=0→31-2b=0
Solving for b:
31-2b+2b=0+2b
31=2b
Dividing both sides by 2:
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b=31/2=15.5

Replacing b by 31/2 in equation (3)
h=31-b
h=31-31/2
h=(2*31-31)/2
h=(62-31)/2
h=31/2

The dimensions are 31/2 ft x 31/2 ft = 15.5 ft x 15.5 ft
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These dimensions are not in the options

1) The first option has an area of: A=(18 ft)(13 ft)→A=234 ft^2
2) The second option has an area of: A=(19 ft)(12 ft)→A=228 ft^2
3) The third option has an area of: A=(17 ft)(14 ft)→A=238 ft^2

The third option has the largest area.

Answer: Third option  
 
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