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Refer to the number line. Find the coordinate of point X such that the ratio of BX to XF is 3:2.
A B C
DE
חת
-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7

Respuesta :

Identifying the points and applying the ratio, it is found that point X is X = 1.2.

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  • Point B is at -6.
  • Point F is at 6.
  • BX is [tex]BX = X - B = X - (-6) = X + 6[/tex].
  • XF is [tex]XF = F - X = 6 - X[/tex]

Ratio of BX to XF of 3:2 means that:

[tex]\frac{BX}{XF} = \frac{3}{2}[/tex]

[tex]\frac{X + 6}{6 - X} = \frac{3}{2}[/tex]

[tex]2(X + 6) = 3(6 - x)[/tex]

[tex]2X + 12 = 18 - 3X[/tex]

[tex]5X = 6[/tex]

[tex]X = \frac{6}{5}[/tex]

[tex]X = 1.2[/tex]

A similar problem is given at https://brainly.com/question/4854238

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