I don't even actually need to work this one out. The rule between the volumes of a cylinder and a cone is that is they have the same height and diameter, the the volume of the cone is one-third that of the cylinder. But in this case the cone's height is three times that of the cylinder. So I predict that their volumes are the exact same. But working it out, the volume of a cylinder is V=πr2h, and plugging in all the appropriate values the volume of the cylinder is 251.33 square inches. And the volume of a cone is V=πr2(h/3), and plugging in the values given to me here the volume of the cone is 251.33 square inches. Therefore their volume is the same.
Answer:
y= -2x+18
Step-by-step explanation:
1. The secant line is a line that passes through 2 points in the function.
2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.
3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.
4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.
5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!
I did the problem up there
The answer that I found is H= 0
C, b, and d
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