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7) Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33, 0) and B is at (0, 44).A) (22,15)B) (-22, 16)C) (-21, 15)D) (-21, 16)

Respuesta :

Given: a line segment AB with coordinates A(-33,0)and B(0,44).M divides the line segment into a ratio 4:7

Find : the coordintes of M.

Explanation:

we know ,

[tex]\begin{gathered} X=\frac{0\times44+7\times(-33)}{4+7} \\ X=\frac{-231}{11} \\ X=-21 \end{gathered}[/tex]

and

[tex]\begin{gathered} Y=\frac{44\times4+0\times7}{4+7} \\ Y=\frac{176}{11} \\ Y=16 \end{gathered}[/tex]

Final answer: the coordinates of point M is (-21,16)

Ver imagen ConcettaW191706

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