You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

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Two parallel lines are _____ coplanar.

dimulka [17.4K]

Answer:

1. always

2. sometimes

Step-by-step explanation:

Two lines are coplanar if they lie in the same plane or in parallel planes. There is ALWAYS a plane which contains two parallel lines (see first attached image for details).

Two lines that lie in parallel planes are sometimes parallel. For example, see at second image. Planes $\alpha$ and $\beta$ are parallel. Consider pair of lines $a$ and $a_1$ - they are parallel, but if you consider the pair of lines $a$ and $b_1$ , you can see they are not parallel.