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Yakvenalex [24]
3 years ago
13

PLEASE help me with this question and I WILL love you forever But yeah please help me with the question.And EXPLAIN in words how

you got it! You will be helping me out and that’s amazing! Thanks xx

Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0
Well on this problem recall area of a rectangle is defined by:

A = lw    our w = 1/6 and our l = (x + \frac{2}{3})   we have let 'x' represent our original length.
(x +  \frac{2}{3} )( \frac{1}{6} )= \frac{11}{72}
\frac{1}{6} x+ \frac{2}{18} = \frac{11}{72}
12x + 8 = 11
12x = 11 - 8
12x = 3
x = \frac{3}{12} = \frac{1}{4}  So our original length is \frac{1}{4}
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krek1111 [17]
Since the perimeter must not exceed 291.
Let the third side be x.

x + 87 + 64  < 291
x + 151 < 291.
x            < 291 -151.
x   <  140.      (First)

But for a triangle there is what is called the Triangle Inequality Theorem.  That given  the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.

So for this case.   87 and 64.

x  > ( 87 - 64).    x  > 23.
x < (87 + 64)      x  <  151. Combine both inequalities.

       23  < x < 151  (second).

Combining First and second. Both must be satisfied.
So we have  a more accurate answer as:


23 < x < 140.      x is greater than 23 and x is less than 140.

x  could be    24, 25, 26, 27, ......, 139.  cm.

I hope this helps.
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Find the equation of the line that is perpendicular to the given line and passes through the given point.
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Answer:

y = 3x + 2

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Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

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