Answer:
The reasoning here is that the price should be based on the volume.
for a cylinder it's pi * r² * height
for a cone it's 1/3 * pi * r² * height
you'll notice that the formulas are the same, except that the cone is just one third of the cylinders volume.
so a fair price should be 70ct, ignoring packaging of course.
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
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Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S
Step-by-step explanation:
-3x - 10 > 14
-3x > 24 (add 10 to both sides)
x < -8 (divide by -3, flip inequality sign)
The missing step is -3x > 24.
