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Reptile [31]
3 years ago
14

Alondra challenges you to play a math game. She says, "I am thinking of a whole number. If you double my number and subtract 6,

the result is less than 2 units away from 0. What number am I thinking of?"
Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

  3

Step-by-step explanation:

Let "a" represent Alondra's number. Then the math she performs on it is ...

  2a-6 . . . .double my number and subtract 6

  | 2a-6 | < 2 . . . . . the result is less than 2 units from zero

This absolute value expression can be "unfolded" to two of them ...

  -2 < 2a -6 < 2

Dividing by 2 gives ...

  -1 < a -3 < 1

Adding 3, we get ...

  2 < a < 4

The only whole number in this range is ...

  a = 3

Alondra is thinking of the number 3.

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That is to say 

70 = .5(Major arc - minor arc)

Think of the major arc as the larger and the minor the smaller.

So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.

140 = major arc - minor arc.

Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.

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Use linear combination and add these equations to get

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8 0
3 years ago
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1.30 :)
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5 0
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