jonathan21alvarez
jonathan21alvarez jonathan21alvarez
  • 14-12-2020
  • Mathematics
contestada

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1
A(2,-8)

C(-4,7)

Please help!!

Respuesta :

abdu35189
abdu35189 abdu35189
  • 17-12-2020

Answer:

(-2, 3)

Step-by-step explanation:

the point B is

B(x,y)

x

AB (A to B) is twice BC ( B to C )

AB is 2 - x. BC is x - (-4)= x + 4

So

2-x=2 (x + 4)

2-x=2x + 8

3x = -6

x = -2

y

(Same logic as above)

AB is -5 -y. BC is u - 7

-5 -y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y= 3

the point is (-2, 3)

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