Answer:
≈ 3.4
Step-by-step explanation:
Coordinates of the point that divide segment with endpoints A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ) in a ratio a : b are
[tex]\frac{bx_{1} +ax_{2} }{a+b}[/tex] , [tex]\frac{by_{1} +ay_{2} }{a+b}[/tex] )
A(- 4, - 7)
B(8, - 4)
Ratio 8 : 5
x-coordinate is [tex]\frac{5(-4)+8(8)}{8+5}[/tex] = [tex]\frac{44}{13}[/tex] ≈ 3.4
