Answer: 0.238853503185
(I obviously used a calculator.)
If you rounded this answer, it would be 0.24. Hope this helps!
Since we know that ratio of AB : AC is 1 : √2, then we can more or less use those values for the sides, check the picture below.
so we're really looking for tan(2A). Let's bear in mind that tan²(θ) is just another way to write [ tan(θ) ]².
If the x-intercept is 7, then the coordinate is 7 along the x-axis and 0 up the y-axis, so the coordinate is (7,0). We now have the two points (4,2) and (7,0).
You can find out the slope of any line using the general equation:

(0-2)/(7-4) = -2/3
The slope of the line is -2/3x.
4y + x = 4 . . . . . . . (1)
2y - x = 8 . . . . . . . (2)
(1) + (2) => 6y = 12
y = 12/6 = 2
From (2), 2(2) - x = 8
4 - x = 8
x = 4 - 8 = -4
Therefore solution is (-4, 2) and lies on both lines.
Answer: C. A Ball Rolls from top to the bottom of a Hill
Step-by-step explanation: In order for this to be a displacement of 0, we need a vector quantity, so we need to specify a magnitude and direction in order to fully characterize it. Unlike distance, which can only get larger on any path taken, displacement can be positive, negative, or zero. Displacement is zero when you start and end at the same spot.