1/2 times -1/4 PLEASEEEEEE
2 answers:
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Answer: c) B' = (6, -3)
<u>Step-by-step explanation:</u>
The simplest way is to rotate the graph.
Rotating the graph 1 time to the left (counterclockwise) = 90°
Rotating the graph 2 times to the left (counterclockwise) = 180°
Rotating the graph 3 times to the left (counterclockwise) = 270°
The longer way is to reflect over the x-axis and over the y-axis, which is the same as a rotation of 180°
Z = (x, y) → Z' = (-x, -y)
<em>the image below shows the graph rotated 2 times = 180°</em>
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Answer:
a) Suppose that F is ordered in ascending order: . Then, the complement of F can be written as
which is the union of a finite number of open intervals, then is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say . Now, choose a real number
such that
there are not other element of F, because
is less that the minimum distance between
and its neighbors.
In case that we only consider
, and if
we only consider
.
Then, all points of F are isolated.
Step-by-step explanation: