The 3rd answer choice (y = x - 2). The y-intercept based on the table is at -2 (0,2), and the slope is y/x which in this case is -1/-1 = 1. The equation y = x - 2 follows the form of y = mx + b where “b” is the y-intercept and “m” is the slope. Since the slope is “1”, m = “1”, leaving the equation to have “x” by itself without a true coefficient. To add on, the y-intercept is -2, letting b = -2. Hence, the third option is correct.
The overall volume is the sum of the volume of a cylinder of height 5'9" and diameter 3'6", and a sphere of diameter 3'6" (two hemispheres = full sphere).
Volume of the cylinder = (area of the base) x (height) = pi * (diameter/2)^2 * 5.75ft = 3.1415 * (3.5ft/2)^2 * 5.75 ft = 55.32 ft^3
Volume of the sphere = 4/3 * pi * (3.5ft)^3 / 8 = 22.45 ft^3
Total volume = (Volume of cylinder) + (Volume of sphere) = (55.32 + 22.45) ft^3 = 77.77 ft^3
I don’t think you have to worry about it because you
Hello
By just looking at the question, you should know that if there an absolute value symbol (which are those two straight lines surrounding that equation), the answer will always be positive.
