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Omni-MATH / A rectangular pool table has vertices at (0,0)(12,0)(0,10), and (12,10). There are pockets only in the four corners. A ball is hit from (0,0) along the line y=x and bounces off sev…

Problem

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problem

A rectangular pool table has vertices at (0,0)(12,0)(0,10)(0,0)(12,0)(0,10), and (12,10)(12,10). There are pockets only in the four corners. A ball is hit from (0,0)(0,0) along the line y=xy=x and bounces off several walls before eventually entering a pocket. Find the number of walls that the ball bounces off of before entering a pocket.
Plain-text mathematical notation (without MathML)
A rectangular pool table has vertices at (0,0)(12,0)(0,10), and (12,10). There are pockets only in the four corners. A ball is hit from (0,0) along the line y=x and bounces off several walls before eventually entering a pocket. Find the number of walls that the ball bounces off of before entering a pocket.
Original LaTeX notation
A rectangular pool table has vertices at $(0,0)(12,0)(0,10)$, and $(12,10)$. There are pockets only in the four corners. A ball is hit from $(0,0)$ along the line $y=x$ and bounces off several walls before eventually entering a pocket. Find the number of walls that the ball bounces off of before entering a pocket.

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Source and history

task_id
b9716af9-a405-56a7-8852-9cf4741baad4
task_key
test--b9716af9-a405-56a7-8852-9cf4741baad4
task_revision_id
1
config / split
/ test

Official source

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