The equation for the surface area of a cylinder is 2πr^2+2πrh.
we substitute our values of the radius and the height to find our answer.
so 2xπx5^2+2xπx5x10 = 471.238898m^2
3 meters would be your answer
When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.
20 - 14 = 6 feet
This means that the balloon is now 6 feet above the ground.
I hope I've helped! :)
Only when <em>b</em> = 0 or <em>k</em> = 1<em>.</em>
If <em>f(x)</em> = <em>mx</em> + <em>b</em>, then
<em>f</em> (<em>kx</em>) = <em>m</em> (<em>kx</em>) + <em>b</em> = <em>mkx</em> + <em>b</em>
while
<em>k</em> <em>f(x)</em> = <em>k</em> (<em>mx</em> + <em>b</em>) = <em>kmx</em> + <em>kb</em>
The two expression are identical only if
<em>kb</em> = <em>b</em> ===> <em>kb</em> - <em>b</em> = 0 ===> <em>b</em> (<em>k</em> - 1) = 0 ===> <em>b</em> = 0 or <em>k</em> = 1
1 unit left and reflection across x axis