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Talja [164]
2 years ago
6

2.) a. If you rotate an object 180 degrees clockwise or counterclockwise, using the same center, is the image the same in both c

ases? Explain.. b. Answer part (a) if you rotate the object 360 degrees..
Mathematics
1 answer:
pentagon [3]2 years ago
4 0
An object rotated by 180 degrees in a clockwise and counterclockwise can have axis reversed. Hence the image is not the same anymore. However when it is 360 degrees reversed, the image is brought back to its original axis, hence the image is the same again,
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Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

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  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

8 0
3 years ago
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