It would be Alex. John finished 66.6 percent of his homework, Sarah completed 50 percent, and Michelle completed 50 percent of her homework. While Alex has completed 87.5 percent of his homework.
Answer:
2 dogs
Step-by-step explanation:
2 dogs at 1st plus 7 dogs added equals 9
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are
and
.
The famous quadratic formula for solving any second order equation is the following:
![x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-b%20%2B%20%5Csqrt%7Bb%5E2%20-%204%20ac%7D%7D%7B2a%7D%5C%5Cx_%7B2%7D%3D%5Cfrac%7B-b%20-%20%5Csqrt%7Bb%5E2%20-%204%20ac%7D%7D%7B2a%7D)
Where a is the coefficient of
, b is the coefficient of x, and c is the free term. In other words,
![a = 3\\b=4\\c=-2](https://tex.z-dn.net/?f=a%20%3D%203%5C%5Cb%3D4%5C%5Cc%3D-2)
as the equation should be in the following form:
![a x^2 + bx+c = 0](https://tex.z-dn.net/?f=a%20x%5E2%20%2B%20bx%2Bc%20%3D%200)
Therefore the possible answer should be the following,
![\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%20%2B%20%5Csqrt%7B4%5E2%20-%204%2A3%2A%28-2%29%7D%7D%7B2%2A3%7D%3D%5Cfrac%7B-4%20%2B%5Csqrt%7B16%20%2B%2024%7D%7D%7B6%7D%20%3D%5Cfrac%7B-4%20%2B%20%5Csqrt%7B40%7D%7D%7B6%7D%3D%5C%5C%20%5Cfrac%7B-4%20%2B%20%5Csqrt%7B4%2A10%7D%7D%7B6%7D%20%3D%20%5Cfrac%7B-4%20%2B%202%5Csqrt%7B10%7D%7D%7B6%7D)
![\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2A%28-2%20%2B%20%5Csqrt%7B10%7D%29%7D%7B2%2A3%7D%20%3D%20%5Cfrac%7B-2%20%2B%20%5Csqrt%7B10%7D%7D%7B3%7D)
by dividing the numerator and denominator by 2, we can deduce the following,
3(9)=27
27+4Y=43
subtract 27 from both sides
4Y=16
devide both sides by 4
Y=4
The length of the line segment is 3.
Hope this helps!