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Elza [17]
2 years ago
10

In 2000 the median size of a new single family house was 2057 square feet in 2010 the median size was 2169 square feet.

Mathematics
1 answer:
nalin [4]2 years ago
6 0

Answer:

<h2>        d.)  11.2 square feet per year</h2>

Step-by-step explanation:

The difference in sizes:

2169 - 2057 = 112 square feet

It is 10 years from 2000 to 2010

112:10 = 11.2

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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.
faltersainse [42]

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

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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

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

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