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What is the length of the perpendicular from the origin to the line passing through (6, 0) and (0, 8)?

Competition practiceGeometry

A4.8 units
B5 units
C7 units
D2.4 units

Step-by-Step Solution

The line is

\frac{x}{6} + \frac{y}{8} = 1

, i.e.

4 x + 3 y = 24

. Distance from O

= \frac{24}{16 + 9} = 4.8

units.

Answer: A) 4.8 units

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