Answer:
[tex]C(x,y) = (8,5)[/tex]
Step-by-step explanation:
Given
[tex]A(x_1,y_1) = (4,1)[/tex]
[tex]B(x_2,y_2) = (10,8)[/tex]
Required
Partition into 2:1
Here, we'll make use of the following formula:
[tex]C(x,y) = (\frac{nx_1 + mx_2}{m + n},\frac{ny_1 + my_2}{m + n})[/tex]
Where
[tex]m:n = 2:1[/tex]
Substitute values for m,n,x1,x2,y1 and y2
[tex]C(x,y) = (\frac{1 * 4 + 2 * 10}{1 + 2},\frac{1 * -1 + 2 * 8}{1 + 2})[/tex]
[tex]C(x,y) = (\frac{24}{3},\frac{15}{3})[/tex]
[tex]C(x,y) = (8,5)[/tex]
