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Setler79 [48]
4 years ago
9

Use the distributive property to rewrite each expression. I need help with number 7.

Mathematics
1 answer:
ExtremeBDS [4]4 years ago
3 0
The distributive property is when the coefficient in front of the parentheses is applied to both terms inside.
a. distribute the 6 to make 6xa+6x5. simplify to make 6a+30
b. distribute the 12 to make 12x4+12x3a. simplify to make 48+36a
c. distribute the c to make (1/2)xb-(1/2)x12. simplify to make (b/2)-6
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Robert has 60 feet of fence to make a dog pen. He will use the house for one side of the pen, as shown above. What dimensions wi
irinina [24]

The formula for an area of a regular parallelogram is:

A = l * w

Where,

l = length

w = width

We are given that the total measurement of fence is only 60 feet and one side of the house is used as one side of the pen. Therefore,

l + 2 w = 60

<span>or simplifying to make an explicit expression for one  variable, say l:</span>

l = 60 – 2 w

<span>Substituting to the 1st equation:</span>

A = (60 – 2 w) * w

A = 60 w – 2 w^2

<span>The maxima are obtained by getting the 1st derivative then equating dA/dw = 0:</span>

dA/dw = 60 – 4 w

60 – 4 w = 0

4 w = 60

w = 15

Since l = 60 - 2w

l = 60 – 30

l = 30

<span>Therefore the dimension that will make the largest pen is 15 ft by 30 ft.</span>

<span>ANSWER: C</span>

7 0
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