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Vsevolod [243]
4 years ago
7

Simplify the product using the distributive property. (4h – 5)(5h – 3)

Mathematics
2 answers:
SIZIF [17.4K]4 years ago
6 0

Answer:

20h^2-37h + 15

Step-by-step explanation:

The distributive property says that:

a\cdot (b+c) = a\cdot b+ a\cdot c

Given the expression: (4h-5)(5h-3)

Distribute the first term and second term of the first expression to the second expression, we have;

4h(5h-3)-5(5h-3)

Apply the distributive property:

20h^2-12h - 25h + 15

Combine like terms;

20h^2-37h + 15

Therefore, the simplified product of the given expression using distributive property is 20h^2-37h + 15

kari74 [83]4 years ago
4 0
20<span>h^2</span>−37h+<span>15 this is your answer</span>
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Answer:

Maximum area possible

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Dimensions:

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w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

8 0
3 years ago
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sertanlavr [38]

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Step-by-step explanation:

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