Well we don't get the full picture
We now have three equations, so we can solve them.
Let's define the length of the 3 boards in terms of x:
F=x
S=2x-3
T=2
F+S+T =26
x+2x-3+2 =26
3x =26+1=27
x =27/3 = 9 feet for First section
2x-3 =18-3 = 16 feet = Second
2 = Third
9+16+2 = 27
27 is the length of the shortest piece.
Learn more about the length at
brainly.com/question/2217700
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A solution of a quadratic equation (ax^2+bx+c) is the point at which the parabola crosses the x-axis. We can find this by using the Quadratic formula, which is
![\frac{-b+- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
. We can solve the equation as follows:
![\frac{-b+- \sqrt{b^2-4ac} }{2a} \\ \frac{-2+- \sqrt{2^2-4(1)(8)} }{2(1)} \\ \frac{-2+- \sqrt{4-32} }{2} \\ \frac{-2+- \sqrt{-28} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%20%5C%5C%20%5Cfrac%7B-2%2B-%20%5Csqrt%7B2%5E2-4%281%29%288%29%7D%20%7D%7B2%281%29%7D%20%20%5C%5C%20%20%5Cfrac%7B-2%2B-%20%5Csqrt%7B4-32%7D%20%7D%7B2%7D%20%5C%5C%20%5Cfrac%7B-2%2B-%20%5Csqrt%7B-28%7D%20%7D%7B2%7D%20)
Then we separate the negative from -28 to get:
![\frac{-2+- \sqrt{28}* \sqrt{-1} }{2}=\frac{-2+-2i \sqrt{7} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2B-%20%5Csqrt%7B28%7D%2A%20%5Csqrt%7B-1%7D%20%20%7D%7B2%7D%3D%5Cfrac%7B-2%2B-2i%20%5Csqrt%7B7%7D%20%20%7D%7B2%7D)
Then we continue to solve by factoring common terms (-2 and 2). We get the solutions of
![-1+i \sqrt{7} \\ or \\ -1-i \sqrt{7}](https://tex.z-dn.net/?f=-1%2Bi%20%5Csqrt%7B7%7D%20%5C%5C%20or%20%5C%5C%20-1-i%20%5Csqrt%7B7%7D%20)
. Choice
B matches our first solution.
:)
Answer:
B(4,-9) D(11,-2)
Step-by-step explanation:
Total ratio is 1 + 3 + 5 = 9
Share for 1 = 1/9 × 144
= 16kg
Share for 3= 3/9 × 144
= 48kg
Share for 5= 5/9 × 144
= 80kg
Proof= 80 + 48 + 16 =144