patilakshta494
patilakshta494 patilakshta494
  • 25-06-2021
  • Spanish
contestada

On a number line, points A, B and C are such that d(A,C) = 10, d(C,B) = 8
Find d(A, B) considering all possibilities.
26​

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 02-07-2021

Answer:

[tex]d(A,B) = 18[/tex]

[tex]d(A,B) = 2[/tex]

Explanation:

Given

[tex]d(A,C) = 10[/tex]

[tex]d(C,B) = 8[/tex]

Required

[tex]d(A,B)[/tex]

It is possible that:

[tex]d(A,B) = d(A,C) + d(B,C)[/tex]

So:

[tex]d(A,B) = 10+8[/tex]

[tex]d(A,B) = 18[/tex]

Also, it is possible that:

[tex]d(A,B) = d(A,C) - d(B,C)[/tex]

So:

[tex]d(A,B) = 10 - 8[/tex]

[tex]d(A,B) = 2[/tex]

Answer Link

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