Answer:
If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line is a perpendicular bisector of the connecting line segments.
Step-by-step explanation:
It will take 250 seconds for it to reach the bottom. To find this I did 17.5 divided by .07.
We want to find a solution such that
With these conditions, and .
Substituting the series into the ODE gives
so that the coefficients of satisfy
for , or
for . Notice that this implies a dependency of all beyond on , while takes on whatever initial value is given. In particular,
and so on up to
So we can extract two fundamental solutions such that , where
Recall that
which tells us
but is a constant solution and already accounts for the constant term in , and can be reduced to a simpler constant , leaving us with
The Wronskian is
so the two solutions are indeed independent as long as neither initial value is 0.
Step-by-step explanation:
Distance = rate × time
If B is the rate of the boat, and C is the rate of the current, then we can write two equations:
18 = (B + C) × 3
18 = (B − C) × 9
Simplifying the equations:
6 = B + C
2 = B − C
Add the equations together to eliminate C:
8 = 2B
B = 4
Plug into either equation to find C:
C = 2
The boat's rate is 4 mph, and the current's rate is 2 mph.