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A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 4:5.
If A is at (-3,7) and B is at (1,-5)what are the coordinates of point C?

Respuesta :

syahidah
B. 4 A. 5 C
(1,-5) (-3,7) (x,y)
[tex]( - 3.7) = \frac{1(5) + x(4)}{5 + 4 }. \frac{ - 5(5) + y(4)}{5 + 4} \\ - 3 = \frac{5 + 4x}{9} \\ - 27 = 5 + 4x \\ \frac{ - 27 - 5}{ 4} \\ x= - 8 \\ 7 = \frac{ - 25 + 4 y }{9} \\ 63 + 25 = 4y \\ \\ 88 = 4y \\ y = 22 \\ [/tex]
koordinat c (-8,22)

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