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?

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

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A: Maximum height

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A: From the given information, the regression equation is y^=4.5+0.7x1+0.55x2. Here, x1 is the height…

Q: fter 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he wa

A: detailed solution is given below

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A:

Q: desk. Together, their height is 6.75 feet. The difference between their heights is 1.85 feet. How…

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A:

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A: Given:- The Eastville High School marching band wants to make a formation shaped like a large E. The…

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Q: Plot three points that represent solutions to the equation y=3.5x

A: We have to plot three points that represent solutions to the equation y = 3.5x.

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Q: The pre image in red has been transformed to the image in green. Write the equation of both images.

A:

Q: n art gallery displays a large painting in the center of a wall that is 24 feet (ft) wide. The…

A: Given  Width of wall=24 ft  Width of painting=10 ft

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.