Question

Highly confused please help

Answer 1

`\displaystyle\\Answer:\ M((6)/(13),-5)`

Explanation:

`\displaystyle\\A(-3,-8)\ \ \ \ B(12,5)\ \ \ \ \ \lambda=(3)/(10)=0.3\ \ \ \ \ M(x_M,y_M)=?\\\\ x_M=(x_A+\lambda (x_B))/(1+\lambda) \\\\x_A=-3\ \ \ \ \ x_B=12\\\\x_M=(-3+0.3(12))/(1+0.3) \\\\x_M=(-3+3.6)/(1.3) \\\\x_M=(0,6)/(1.3)\\\\ x_M=(0.6*10)/(1.3*10) \\\\x_M=(6)/(13) \\\\`

`\displaystyle\\y_M=(y_A+\lambda (y_B))/(1+\lambda) \\\\y_A=-8\ \ \ \ \ y_B=5\\\\y_M=(-8+0.3(5))/(1+0.3)\\\\y_M=(-8+1.5)/(1.3) \\\\y_M=(-6.5)/(1.3) \\\\y_M=-(1.3(5))/(1.3) \\\\y_M=-5`