Abigailw43
contestada

Segment AB has endpoints with coordinates A: (-4, -7) and B: (8, -4). Determine the value of the x-coordinate of the interior point that separates Segment AB into lengths with a ratio of 8:5. Record answer to the nearest tenth.

Respuesta :

xenia168

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

Otras preguntas