Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
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 choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
