Answer:
The length of the bridge is 126.492 feet.
Step-by-step explanation:
Let
, where
is the position from the middle of the bridge, measured in feet, and
is the height of the bridge at a location of x feet, measured in feet. In this case, the length of the bridge is represented by the distance between the x-intercepts of the parabola, which we now find by factorization:
(Eq. 1)



Given that the parabola is symmetrical with respect to y-axis, then the length is two times the magnitude of the value found above, that is:


The length of the bridge is 126.492 feet.
To solve the problem you must apply the corresponding formulas for calculate the area of each figure. Therefore, you have:
1-A cube where the length of each edge is 4 inches: <span>96 square inches
</span><span> A=6a^2=96 inches^2
2- A triangular prism where the area of each base is about 20 square inches, the length of each side of the base is 6 inches, and the height of the prism is 2 inches: </span><span>76 square inches.</span><span>
3- A square pyramid with a base length and slant height of 5 inches: 75</span><span> square inches.
</span><span>A=2(5)(5)+5^2=75 inches^2
4- A rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches:</span>94 square inches .
A=2(4x5+3x5+3x4)=94 inches^2
They are inverses.
The easiest way to solve this is to take the g(x) equation and switch the g(x) with the x. Then solve for your new g(x). Since it looks just like f(x) after doing that, it is an inverse.
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