A Civil War cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path of the cannon ball is parabolic and can be represented by y = –0.04x2 + 4x + 1, where y represents the height of the ball in meters and x represents the horizontal distance of the ball from the cannon. The incline of the hill can be represented by the equation y = 0.8125x. How far will the cannon ball have moved horizontally from the cannon when it hits the hill?

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A Civil War cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path of the cannon ball is parabolic and can be represented by

y = –0.04x2 + 4x + 1, where y represents the height of the ball in meters and x represents the horizontal distance of the ball from the cannon. The incline of the hill can be represented by the equation y = 0.8125x. How far will the cannon ball have moved horizontally from the cannon when it hits the hill?

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