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Oxana [17]
2 years ago
8

The following set of ordered pairs is an example of direct variation, find the constant ratio between the variables. (Hint: Find

k.)
(2, 4) (5, 10) (7, 14) (11, 22)

A. k=2
B. k=8
C. k=-2
D. k= 1/2
Mathematics
1 answer:
iVinArrow [24]2 years ago
6 0
Use formula y = k x and find value of k using any of the coordinates
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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^
Dmitry [639]

check the picture below.


so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².


now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


notice, it cannot be -18, since is a positive length unit.

5 0
3 years ago
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PLEASE HELP? I need help ASAP heh.
spayn [35]

Answer:

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5 shaded

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