Answer:
see below
Step-by-step explanation:
In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)
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I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.
As always, the rotation transformations are ...
180° — (x, y) ⇒ (-x, -y)
270° — (x, y) ⇒ (y, -x)
Answer:
The sequence above is a geometric sequence
For an nth in a geometric sequence
where n is the number of terms
a is the first term
r is the common ratio
From the question
a = 45
r = 15 / 45
The explicit formula for the sequence is
U(n) = 45(1/3)^n-1
Hope this helps you