The correct answer is B.
See diagram
EXPLANATION
Let us choose zero to be our reference point. That is zero is representing the surface of the pool.
Since
![-\frac{1}{6}>-\frac{4}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B6%7D%3E-%5Cfrac%7B4%7D%7B6%7D)
Or
![-\frac{4}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B6%7D%3C-%5Cfrac%7B1%7D%7B6%7D)
will be closer to zero.
We were told that
is where the boy's feet are. Therefore his feet are closer to the surface of the pool than the girl's feet.
So the correct answer is
the second option
EXPLANATION
Given the expression 2y(x-y) +12=5x , plugging in x=3 into the expression,
2y(3-y) + 12 = 5*3
6y -2y^2 + 12 = 15
Rearranging terms:
![-2y^2+6y+12=15](https://tex.z-dn.net/?f=-2y%5E2%2B6y%2B12%3D15)
Now, we need to apply the quadratic equation:
![\mathrm{For\: a\: quadratic\: equation\: of\: the\: form\: }ax^2+bx+c=0\mathrm{\: the\: solutions\: are\: }](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%20a%5C%3A%20quadratic%5C%3A%20equation%5C%3A%20of%5C%3A%20the%5C%3A%20form%5C%3A%20%7Dax%5E2%2Bbx%2Bc%3D0%5Cmathrm%7B%5C%3A%20the%5C%3A%20solutions%5C%3A%20are%5C%3A%20%7D)
![x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A%202%7D%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![\mathrm{For\: }\quad a=-2,\: b=6,\: c=-3](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%20%7D%5Cquad%20a%3D-2%2C%5C%3A%20b%3D6%2C%5C%3A%20c%3D-3)
![y_{1,2}=\frac{-6\pm\sqrt{6^2-4\left(-2\right)\left(-3\right)}}{2\left(-2\right)}](https://tex.z-dn.net/?f=y_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%7B6%5E2-4%5Cleft%28-2%5Cright%29%5Cleft%28-3%5Cright%29%7D%7D%7B2%5Cleft%28-2%5Cright%29%7D)
Multiplying terms:
![y_{1,2}=\frac{-6\pm\sqrt[]{36-24}}{-4}](https://tex.z-dn.net/?f=y_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%5B%5D%7B36-24%7D%7D%7B-4%7D)
Subtracting numbers:
![y_{1,2}=\frac{-6\pm\sqrt[]{12}}{-4}](https://tex.z-dn.net/?f=y_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%5B%5D%7B12%7D%7D%7B-4%7D)
Simplifying:
![\mathrm{The\: solutions\: to\: the\: quadratic\: equation\: are\colon}](https://tex.z-dn.net/?f=%5Cmathrm%7BThe%5C%3A%20solutions%5C%3A%20to%5C%3A%20the%5C%3A%20quadratic%5C%3A%20equation%5C%3A%20are%5Ccolon%7D)
X(y-5)
given x=2 , y=7
put in the equation
so 2(7-5)
2×2=4 answer
hope u understand..
Zero.
The sum of these angles is 200°. The sum of angles in a triangle must be 180°. These angles cannot be used to form a triangle.
Answer:
2.5
Step-by-step explanation:
a=1 and b=5 so it would be 1 times 5 minus 0.5 time 5. to get this you must used PEMDAS and multiplication goes before subtraction. 1 times 5 is 5 and 0.5 times 5 is 2.5 so now you can subtract one from another which would give you your answer.