Answer
<em>length = width + 15</em>
<em>Area = length * width; area is 54 square feet.</em>
<em>Two equations are:</em>
<em>L = W + 15</em>
<em>L * W = 54</em>
<em>To solve, we substitute first equation into second equation:</em>
<em>(W + 15) * W = 54</em>
<em>w^2 + 15w = 54</em>
<em>w^2 + 15w - 54 = 0</em>
<em>(w+18)(w-3) = 0</em>
<em>w = -18 or 3</em>
<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>
<em />
<em>Length = 18 feet</em>
<em>Width = 3 feet</em>
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1) x = - 4, y = - 12; (- 4, - 12)
2) x = 34, y = 17; (34, 17)
3) x = 16, y = 7; (16, 7)
4) x = 7, y = - 4; (7, - 4)
5) x = - 4, y = 10; (- 4, 10)
6) x = 12, y = - 7; (12, - 7)
7) x = 5, y = 10; (5, 10)
8) x = 11, y = - 12; (11, - 12)
The irrational in between should be 7.8
There are a number of possible combinations for this open-ended question, so here's an example question and answer, in which the two are non-related:
James' car is going at 45 miles per hour, and that is 42% of his maximum speed. How much slower does James have to go to be 27% of his maximum speed?
Amy's car used to be able to go at 45 miles per hour as 42% of her maximum speed, but due to the new upgrade, 45 miles per hour is now only 27% of her maximum speed.
