3,2,1,6 are all factors of 6.
Answer:
B
Step-by-step explanation:
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>
Answer:
Let's put this equation in standard form...

If it is parallel, it would have the SAME slope but ANY OTHER y-intercept!!
For example...

Hope this helps!!
Answer:
y = -3x +4
Step-by-step explanation:
Using the expression for y, we can substitute that into the second equation:
... x + (1/3)(-3x +4) = 4/3
... 4/3 = 4/3 . . . . . simplify (True for any value of x.)
<em>These equations are dependent and have an infinite number of solutions</em>.