tiniyahthomas tiniyahthomas
  • 20-08-2020
  • Mathematics
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On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3
the way from A to B?

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sqdancefan
sqdancefan sqdancefan
  • 20-08-2020

Answer:

  2

Step-by-step explanation:

The distances have the ratio:

  (C -A) = (2/3)(B -A)

  C = (2/3)B +(1/3)A . . . . . add A

  C = (2B +A)/3 . . . . . . . . combine terms

  C = (2(4) +(-2))/3 = 6/3 = 2

The coordinate of C is 2.

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