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Pavel [41]
2 years ago
9

Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt

will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt. Which quadratic equation can be used to find s, the side length of the square quilt? s2 = (s + 6) s2 = (s)(s + 6) s2 = (6s) s2 = (s)(6s)
Mathematics
2 answers:
Illusion [34]2 years ago
6 0

Answer:

None of the option is true

Step-by-step explanation:

As per the given condition , the length of rectangle = s+6 and width = \frac{s}{2}

Hence the Area will be A=\frac{s}{2}*(s+6)

This area is the same as that of Square, whose area was s^{2}

Hence the Area will be

s^2=\frac{s}{2}*(s+6)

2s^2=s(s+6)\\2s^2=s^2+6s\\s^2-6s=0\\s(s-6)=0\\

s=0 , s=6

padilas [110]2 years ago
6 0
I'm pretty sure it should be

s^2=(1/2s)(s+6)

because the width is half of (s) so none of those options are right.
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Step-by-step explanation:

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Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

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x^2 + ax + 36 = 0

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From the question, we understand that the equation has two negative integer solution. This can be represented as:

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Using the above roots, the equation can be represented as:

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Open brackets

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To compare the above equation to x^2 + ax + 36 = 0, we have:

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The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

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a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

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