rereadamas
contestada

Point B lies on a number line between points A and C. The coordinate of A is -9 and the coordinate of C is 12. The distance between A and B is 1/3 of AC. What is the coordinate of B? Write you answer as a number.

Respuesta :

Relating the coordinates, it is found that the coordinate of B is -2.

-----------------------

  • The coordinate of A is -9.
  • The coordinate of B is x.
  • The coordinate of C is 12.
  • The distance between A and B is: [tex]x - (-9) = x + 9[/tex]
  • The distance of A and C is: [tex]12 - (-9) = 12 + 9 = 21[/tex]

The distance between A and B is 1/3 of AC, thus:

[tex]x + 9 = \frac{21}{3}[/tex]

[tex]x + 9 = 7[/tex]

[tex]x = -2[/tex]

The coordinate of B is -2.

A similar problem is given at https://brainly.com/question/18285191

Otras preguntas