I believe that number would be 6.
1/3n-12= -10
+12 +12
_________
1/3n = +2
x3 x3
_________
n = 6
False because 6 is divisible by 2 and 3, but not 12
It would be nice If I could read it better. The answer is C if is says angle 3 and angle 5.
You can identify the lines and their colour either by
1. the y-intercepts.
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).
Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).
So at the point, it won't be too hard to find the correct region.
To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.
Volume of a cone = pi * r² * (h/3)
If your diameter is 2, then take half of that for the radius; your radius is 1
Now plug in your given info:
V = pi * (1)² * (7/3)
= pi * 1 * (7/3)
= 7pi / 3
V ≈ 7.3304
Your answer is option D.
