What are the x and y coordinates of point C which partitions the directed line segment from A to B into the ratio 3:10 round to the nearest tenth of necessary X= (-2.6) (-2.2) (0.7) (3.4)Y= (-5.2) (2.9) (5.2) (8.9)
Accepted Solution
A:
Answer:x=-2.6y=5.2Step-by-step explanation:The endpoint of line AB are at:A(-4,8) and B(2,-4)The x-coordinate of the point that divides this AB in the ratio m:n=3:10 is[tex]x=\frac{mx_2+nx_1}{m+n}[/tex]We substitute the given values to obtain;[tex]x=\frac{3(2)+10(-4)}{3+10}[/tex]We simplify to get:[tex]x=\frac{6-40}{13}[/tex][tex]x=\frac{-34}{13}[/tex][tex]x=-2.6[/tex]The y-coordinate of the point that divides this AB in the ratio m:n=3:10 is[tex]y=\frac{my_2+ny_1}{m+n}[/tex]We substitute the given values to obtain;[tex]y=\frac{3(-4)+10(8)}{3+10}[/tex]We simplify to get:[tex]y=\frac{-12+80}{13}[/tex][tex]y=\frac{68}{13}[/tex][tex]y=5.2[/tex]