Answer:
Step-by-step explanation:
The slope of the line parallel to that line is -5/6 because parallel lines have the same slope.
<span>"Simplifying
0.2y = 0.5x + 0.1
Reorder the terms:
0.2y = 0.1 + 0.5x
Solving
0.2y = 0.1 + 0.5x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '0.2'.
y = 0.5 + 2.5x
Simplifying
y = 0.5 + 2.5x"</span>
You simply multiply all the options
3x2x3= 18 possibilities
The volume of a cone varies jointly with the area of the base and the height of the cone.

where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is

Now we use the second set of info, the height and the volume, and we find the area of the base.




Answer: the area of the base is 31 cm^2