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Gennadij [26K]
3 years ago
13

Question 14. Two sides of a triangle have lengths of 7

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

8 < x < 22

Step-by-step explanation:

If x is the third side , then

difference of 2 sides < x < sum of 2 sides , that is

15 - 7 < x < 15 + 7

8 < x < 22

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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

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∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

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Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

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Step-by-step explanation:

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Step-by-step explanation:

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