Connect with a community of experts and enthusiasts on IDNLearn.com. Join our interactive Q&A community and get reliable, detailed answers from experienced professionals across a variety of topics.
Sagot :
Given directed line segments from (-10,-5) to (5,1) with ratio 1:2
The coordinate for the partition on the line segment is given by the formula
[tex]\begin{gathered} (\frac{(mx_2+nx_1)_{}_{}}{m+n}),\text{ (}\frac{(my_2+ny_1)}{m+n} \\ \text{where m and n are the ratios} \end{gathered}[/tex]From the formula, let us define, all the parameters from the given coordinates and ratio
[tex]\begin{gathered} m=1;\text{ n=2} \\ x_{_1}=-10;x_2=5;y_1=-5;y_2=1;\text{ m=1; n=2} \end{gathered}[/tex]Substituting the parameters into the formula to the coordinate of the partition will give
[tex]\begin{gathered} =(\frac{(1\times5+2\times-10)}{1+2}),\text{ (}\frac{(1\times1+2\times-5)}{1+2}) \\ =(\frac{(5-20)}{3}),(\frac{(1-10)}{3}) \\ =(\frac{-15}{3},\frac{-9}{3}) \\ =(-5,-3) \end{gathered}[/tex]Hence, the coordinates of the point on the directed line segment that partitions the segment into the ratio 1 to 2 is (-5,-3)
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.
