Question

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)

Answer 1

x= -2.6

y= 5.2

Explanation:

Answer 2

x=-2.6

y=5.2

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

`x=(mx_2+nx_1)/(m+n)`

We substitute the given values to obtain;

`x=(3(2)+10(-4))/(3+10)`

We simplify to get:

`x=(6-40)/(13)`

`x=(-34)/(13)`

`x=-2.6`

The y-coordinate of the point that divides this AB in the ratio m:n=3:10 is

`y=(my_2+ny_1)/(m+n)`

We substitute the given values to obtain;

`y=(3(-4)+10(8))/(3+10)`

We simplify to get:

`y=(-12+80)/(13)`

`y=(68)/(13)`

`y=5.2`