Question

Highly confused please help

Answer 1

$\displaystyle\\Answer:\ M(\frac{6}{13},-5)$

Step-by-step explanation:

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

$\displaystyle\\y_M=\frac{y_A+\lambda (y_B)}{1+\lambda} \\\\y_A=-8\ \ \ \ \ y_B=5\\\\y_M=\frac{-8+0.3(5)}{1+0.3}\\\\y_M=\frac{-8+1.5}{1.3} \\\\y_M=\frac{-6.5}{1.3} \\\\y_M=-\frac{1.3(5)}{1.3} \\\\y_M=-5$