Seudónimo Seudónimo
  • 17-06-2022
  • Mathematics
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Determine the value of x, given: A: (x, x+2) and B: (3x, x - 1), And the length of is 5

Determine the value of x given A x x2 and B 3x x 1 And the length of is 5 class=

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Medunno13
Medunno13 Medunno13
  • 19-06-2022

Using the distance formula,

[tex]\sqrt{(3x-x)^{2}+(x-1-(x+2))^{2}}=5 \\ \\ \sqrt{(2x)^{2}+3^{2}}=5 \\ \\ \sqrt{4x^{2}+9}=5 \\ \\ 4x^{2}+9=25 \\ \\ 4x^{2}=16 \\ \\ x^{2}=4 \\ \\ x=\boxed{\pm 2}[/tex]

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