MykaD466157 MykaD466157
  • 30-10-2022
  • Mathematics
contestada

THIS IS A GEOMETRY QUESTION IFind the coordinates of the point 1/6 of the way from U to V closer to U(-3,7) than V (9,1)

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KharaK368358 KharaK368358
  • 30-10-2022

start by obtaing the ratio usind the formula

[tex]r=\frac{\bar{P_1P}}{\bar{PP_2}}=\frac{\frac{1}{6}}{\frac{5}{6}}=\frac{1}{5}[/tex]

After having the ratio use the formula

[tex](x,y)=(\frac{x_1+rx_2}{1+r},\frac{y_1+ry_2}{1+r})[/tex]

replace in the formula tking into account that the coordinates that refers to point 1 is the closer point

[tex](x,y)=(\frac{x_1+rx_2}{1+r},\frac{y_1+ry_2}{1+r})[/tex]
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