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lisabon 2012 [21]
3 years ago
15

A garden in the shape of trapezoid has an area of 44.4 square meters. One base is 4.3 meters long and the other base is 10.5 met

ers long. The height of the trapezoid is the width of the garden. How wide is the garden?​
Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

22.5 1/2

Step-by-step explanation:

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vazorg [7]

Answer:

48 is the even number

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trapecia [35]

Answer:

See below

Step-by-step explanation:

Let the  2 roots be  A and A^2.

Then A^3 = c/a and A + A^2 = -b/a.

Using the identity a^3 b^3 = (a + b)^3 - 3ab^2 - 3a^2b:-

A^3 + (A^2)^3 =  ( A + A^2)^3 - 3 A.A^4 - 3 A^2. A^2

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Substituting:-

c/a + c^2/a^2 = (-b/a)^3 - 3 (c/a)(-b/a)

Multiply through by a^3:-

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Factoring:-

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This is not the formula required in the question but let's see if the formula in the question reduces to this. If it does we have completed the proof.

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These are equal so we have

ca^3 - 3a^2bc + 3acb^2 - cb^3 = ac^3 - 3abc^2 + 3acb^2 - ab^3

The 3acb^2 cancel out so we have:-

a^3c - ac^3 =  3a^2bc - 3abc^2 + b^3c - ab^3

ac(a^2 - c^2) = 3abc( a - c) + b^3(c - a)

ac(a + c)(a -c) = 3abc(a - c) - b^3 (a - c)

Divide through by (a - c):-

ac(a + c) = 3abc - b^3 , which is the result we got earlier.

This completes the proof.

 

3 0
3 years ago
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Hi, can someone please help me with this question, I'm a bit baffled.
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