Question

PLEASE HELP WILL GIVE BRAILIEST AND 10 POINTS

Answer 1

Answer:

$\text{Partition point at }\left(8\frac{3}{4},10\right)$

B is correct.

Step-by-step explanation:

We are given point A(5,4) and point B(10,12).

We need to find point which divides line segment AB into 3:1

Using section formula of coordinate system to find coordinate

Formula:

$(x,y)\rightarrow \left(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}\right)$

where,

$A(x_1,y_1)\rightarrow (5,4)$

$B(x_2,y_2)\rightarrow (10,12)$

$m:n\rightarrow 3:1$

Substitute into formula and find out partition point,

$\text{Point: }\left(\frac{3\cdot 10+1\cdot 5}{3+1},\frac{3\cdot 12+1\cdot 4}{3+1}\right)$

$\text{Point: }\left(\frac{35}{4},\frac{40}{4}\right)$

$\text{Point: }\left(8\frac{3}{4},10\right)$

$\text{Thus, Partition point at }\left(8\frac{3}{4},10\right)$