2 years ago

I need help with this worksheet I don't understand from 12-14

Mathematics

1 answer:

siniylev [52]2 years ago

3 0

Answer:

13.jawaban nya

14.jawaban nya

15.jawaban nya

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Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6

ANTONII [103]

Answer:

14 more meters

Step-by-step explanation:

6 times square (4) = 24

24-10 = 14

3 0

3 years ago

The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe

nirvana33 [79]

Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125

A graph of the solution verifies that the solution is correct.