AlexandarJ38853 AlexandarJ38853
  • 25-10-2022
  • Mathematics
contestada

What are the coordinates of the point on the directed line segment from (-8,8) to(7, – 7) that partitions the segment into a ratio of 1 to 4?

Respuesta :

DequariusW208334 DequariusW208334
  • 25-10-2022

We have the following:

[tex]\begin{gathered} x_1+\frac{1}{r+1}\cdot(x_2-x_1) \\ y_1+\frac{1}{r+1}\cdot(y_2-y_1) \end{gathered}[/tex]

replacing:

for x:

[tex]\begin{gathered} x=-8_{}+\frac{1}{4+1}\cdot(7-(-8)) \\ x=-8+\frac{1}{5}\cdot(7+8)=-8+3=-5 \end{gathered}[/tex]

for y:

[tex]\begin{gathered} y=8_{}+\frac{1}{4+1}\cdot(-7-(8)) \\ y=8+\frac{1}{5}\cdot(-788)=8-3=5 \end{gathered}[/tex]

The coordinates is: (-5, 5)

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