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3 years ago

T.

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

6 0

Answer:

a) 5000 m²

b) A(x) = x(200 -2x)

c) 0 < x < 100

Step-by-step explanation:

b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:

A(x) = x(200 -2x)

a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²

c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.

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Answer:

The total distance Allie traveled was 0.81 miles.

Step-by-step explanation:

Since Allie rode her bike up a hill at an average speed of 12 feet / second, and she then rode back down the hill at an average speed of 60 feet / second, and the entire trip took her 2 minutes, to determine what is the total distance she traveled, the following calculation must be performed:

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3 years ago

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3 years ago

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3 years ago

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Step-by-step explanation:

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