Answer:
Step-by-step explanation:
B) the stone hits the water within the first 2 seconds. Because the stone drops at the speed of 88 feet/second, and 88 x 2 is 176. but the bridge is only 135 feet tall.
so,
88 feet/second
176 feet/2 seconds
135 feet means that it reached the river within 2 seconds. it reached the river in 1.545 seconds
Let
![\sqrt{x} = a](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20%20%3D%20a)
then you will have a^2-12a+36=0 and then you can just factor to find a
If the roots to such a polynomial are 2 and
![1+\sqrt2](https://tex.z-dn.net/?f=1%2B%5Csqrt2)
, then we can write it as
![(x-2)(x-(1+\sqrt2))](https://tex.z-dn.net/?f=%28x-2%29%28x-%281%2B%5Csqrt2%29%29)
courtesy of the fundamental theorem of algebra. Now expanding yields
![(x-2)(x-1-\sqrt2)=x^2-2x-(1+\sqrt2)x+2(1+\sqrt2)=x^2-(3+\sqrt2)x+2+2\sqrt2](https://tex.z-dn.net/?f=%28x-2%29%28x-1-%5Csqrt2%29%3Dx%5E2-2x-%281%2B%5Csqrt2%29x%2B2%281%2B%5Csqrt2%29%3Dx%5E2-%283%2B%5Csqrt2%29x%2B2%2B2%5Csqrt2)
which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.
So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use
![1-\sqrt2](https://tex.z-dn.net/?f=1-%5Csqrt2)
as a root. In this case, that would make our polynomial
![(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2](https://tex.z-dn.net/?f=%28x-2%29%28x-%281%2B%5Csqrt2%29%29%28x-%281-%5Csqrt2%29%29%3Dx%5E3-4x%5E2%2B3x%2B2)
so that the answer is (probably) the third choice.
Whoever originally wrote this question should reevaluate their word choice...
Well if the window is 40 x 10 the L is 52 and the w 22