An engineer designed a suspension bridge with three hanging cables, with the end of each cable attached to a tower. He defined
cable AB by the function f(x) = 0.1(x+11)^2+5 The bridge has a clearance of 24ft above the water's surface.
Knowing that the width of each tower is 2 ft, what is the height of each tower?
(Assume that the tower at point B is centered on the y-axis and that the cables are attached to the ends of the tower.)
Knowing that the width of each tower is 2 ft, what is the height of each tower?
(Assume that the tower at point B is centered on the y-axis and that the cables are attached to the ends of the tower.)
1 answer:
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Answer:
Step-by-step explanation:
- -1/9 × -5/4: 9 × 4 = 36, -1 × -5 = 5
- Put them together: 5/36
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.
Substituting for y into the equation for the length of fencing needed, we have
For the amount of fencing to be minimum, then
Now, recall that
Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.
Substituting for y into the equation for the length of fencing needed, we have
For the amount of fencing to be minimum, then
Now, recall that
Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.