A' = (-2, 1)
B' = (1, 0)
C' = (-1, 0)
Answer:
Each side of the photocopy of the picture is enlarged by a factor of 2 so it would be A.
Step-by-step explanation:
So your slope is 2 and your Y-intercept is 1.
To graph it, start at 0 and go up to number 2.
Answer:
113.04 cubic inches.
Step-by-step explanation:
We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.
To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.
, where,
r = Radius of cylinder,
h = Height of cylinder.
First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.


Upon substituting our given values in volume formula we will get,
Therefore, one can of soft drink contains 18.84 cubic inches of drink.
To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.
Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>