DrexK222648 DrexK222648
  • 25-10-2022
  • Mathematics
contestada

Find the y-coordinate of point P that lies 1/3 along segment CD, closer to C, where C (6, -5) and D (-3, 4).

Find the ycoordinate of point P that lies 13 along segment CD closer to C where C 6 5 and D 3 4 class=

Respuesta :

ShagunN672503 ShagunN672503
  • 25-10-2022

SOLUTION:

The given ratio is:

[tex]1:3[/tex]

• The given points are ,C(6, -5) and D (-3, 4).

Using the section formula, the coordinate of P is:

[tex]\begin{gathered} P=(\frac{1(-3)+3(6)}{1+3},\frac{1(4)+3(-5)}{1+3}) \\ P=(\frac{-3+18}{4},\frac{4-15}{4}) \\ P=(\frac{15}{4},\frac{-11}{4}) \end{gathered}[/tex]

Therefore the coordiantes of P

[tex]P=(\frac{15}{4},\frac{-11}{4})[/tex]

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