Question

Geometry math question no Guessing and Please show work

Answer 1

Answer :

The given points are F (- 1, - 1) and H (- 8, 20)

Given that the line segment joining F and H are divided into the ratio 5 : 2 by the point G

Thus, the coordinates of the point G be

$( \frac{(2 \times ( - 1 )) + (5 \times (-8))}{5 + 2}, \frac{(2 \times (-1)) + (5 \times 20)}{5 + 2} ) \\ \\ i.e. \:( \frac{ - 2 - 40}{7}, \frac{- 2 + 100}{7} ) \\ \\ i.e. \: (\frac{-42}{7} ,\frac{98}{7} ) \\ \\ i.e. \: (-6, 14)$

Therefore, option (C) is correct.

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