Check the picture below.
Although a football field appears to be flat, some are actually shaped like a parabola so that rain runs off to both sides. The
cross section of a field can be modeled by y = -0.000234x (20 160), where x and y are measured in feet. What is the width of the field? What is the maximum height of the surface of the field? Round your answers to the nearest tenth, if necessary.
The width of the field is feet. The maximum height of the field is about fleet.
The width of the field is feet. The maximum height of the field is about fleet.
1 answer:
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Answer:
y = -x + 11
Step-by-step explanation:
The equation of a straight line is is given by:
y = mx + b; where m is the slope and b is the y intercept
The equation of the line joining G(9, 8) and H(3, 2) is given as:
The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).
Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:
x = (9 + 3)/2 = 6
y = (8 + 2)/2 = 5
The midpoint = (6, 5)
Two lines are perpendicular if the product of their slopes is -1.
The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.
This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:
The equation of the perpendicular bisector is y = -x + 11