A marching band stands in a triangle formation. The drum major stands at A, one of the vertices of the triangle. The whole forma
tion marches 3 units left and 5 units up. They then march 2 units left and 2 units up. After the movement, what coordinates will the drum major be standing on? A. (11, 3) B. (11, 11) C. (1, 11) D. (1, 3)
1 answer:
Answer:
D. (1, 3)
Step-by-step explanation:
Based on the image uploaded, during the first march, move point A, 3 units left, the new position will (3, -4), then move point A again 5 units up, the new position will be (3,1).
From second march move point A 2 units left, the new position will be (1,1), finally move point A 2units up, the new position and last position will be (1, 3).
Thus, the drum major be standing on (1, 3)
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Answer:
the distance is 3/4
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
I don't know what method is referred to in "section 4.3", but I'll suppose it's reduction of order and use that to find the exact solution. Take 
, so that 
and we're left with the ODE linear in 
:
Now suppose
has a power series expansion
Then the ODE can be written as
![\displaystyle\sum_{n\ge2}\bigg[n(n-1)a_n-(n-1)a_{n-1}\bigg]x^{n-2}=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%5Cge2%7D%5Cbigg%5Bn%28n-1%29a_n-%28n-1%29a_%7Bn-1%7D%5Cbigg%5Dx%5E%7Bn-2%7D%3D0)
All the coefficients of the series vanish, and setting
in the power series forms for and 
tell us that 
and 
, so we get the recurrence
We can solve explicitly for
quite easily:
and so on. Continuing in this way we end up with
so that the solution to the ODE is
We also require the solution to satisfy, which we can do easily by adding and subtracting a constant as needed:
Now suppose
Then the ODE can be written as
All the coefficients of the series vanish, and setting
We can solve explicitly for
and so on. Continuing in this way we end up with
so that the solution to the ODE is
We also require the solution to satisfy