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Andre45 [30]
3 years ago
14

The length of a parking lot is 7 yards more than the width.If the area of the parking lot is 98 square yards,find the dimensions

of the parking lot.
Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
The parking lot is 14 yards long by 7 yards wide.

A = W x L       The formula is ....

L = W + 7        The problem tells us that ...

A = W (W + 7)
A = w^2 + 7w
98 = w^2 + 7x
... continue from there
 
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Answer:

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Step-by-step explanation:

This system of inequalities has a shared portion at the origin, so we can easily jump to using the zero-interval test [test point (0, 0)] to verify the inequalities as false or true:

\displaystyle 5[0] ≥ -4[0] - 10 → 0 ≥ -10☑

\displaystyle 0 > -3☑

Plus, the top inequality has a <em>dashed </em><em>line</em><em> </em>["<" or ">"], and the bottom inequality has a solid line, so this must have an equivalence line underneath each inequality symbol ["≤" or "≥"].

** Hold on though! Although it looks obvious about what the second inequality is, we need to double-check and make sure anyway, just to be on the safe side ☺:

\displaystyle \frac{5y}{5} ≥ \frac{-4x - 10}{5} → y ≥ -\frac{4}{5}x - 2

From the y-intercept of \displaystyle [0, -2],we do \displaystyle \frac{rise}{run}by either moving four blocks <em>north</em><em> </em>over five blocks <em>west</em><em> </em>or four blocks <em>south</em><em> </em>over five blocks <em>east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. This IS what our solid graph looks like, so we are correct!

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