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kupik [55]
2 years ago
13

The cargo of the truck weighs less than 2,800 pounds. Use w to represent the weight (in pounds) of the cargo.

Mathematics
1 answer:
MakcuM [25]2 years ago
5 0

Answer:

w < 2,800lb

Step-by-step explanation:

w weighs less than 2,800 pounds.

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An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.
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Answer:

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

y=a(x-h)^2+k, (h,k) is the center

y=a(x-50)^2+25

the parabola starts at (0,0) that is (x,y)

0=a(0-50)^2+25

subtract 25 from both sides

-25=a(-50)^2

-25=a(2500)

divide both sides by 2500

a=-\frac{1}{100}

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=-\frac{1}{100}(40-50)^2+25

y=24

the height of the arch 10 feet from the center is 24 feet

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