So, r' (the new r) becomes kr, and h'=h*k,
so V' = pi * (r')^2*h' = pi * (r*k)^2*(h*k) = pi*r^2*h*k^3 = V * k^3
Convinced?
Answer:
9.55 minutes
Step-by-step explanation:
x hours to go to the river
0.25-x hours to come back, since 15 minutes is 0.25 hr.
to the river 40 mph * x hours =40x miles
from the river 70 mph (0.25-x) hours=17.5-70x
those two are equal
40x=17.5-70x
110x=17.5
x=17.5/110=0.159 hours
9.55 minutes
1. 15 Km
2. 17
3. 585.2
4. 243 dollars
In order to solve for x you have to set x by itself, the first step is to add common like terms for example 3x and 2x are common like terms so lets add them up to get 5x-4=8 now add 4 to both sides because the only way to get rid of a negative is with a positve, now you have 5x=12. your final step is to divide 5 to both sides because the only way to get rid of a multiplication is with a division, this will leave x by itself and your answer will be x=12/5
Hope this helps
The slope of the line is 2