<span>Equation of line L is y = 3/5x + 20 </span> C) If a spotlight is located at the x intercept of line L (-33 1/3,0), its light will go only above line L past the point where line L is tangent to the hill at (100,80) because the hill blocks the light below the tangent line.
<span>The highest point on the equation of y = x - x²/500 is at (250,125), so a tree 50 feet tall at that location would reach up to (250,175). The tangent line goes through (250,170), so the top 5 feet of the tree would be above the tangent line, in the glow of the spotlight. </span> --------------------------
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There will be nights when you get more sleep or less sleep than usual, but overall, they will not be far away from the rest of the data you're comparing.
