QuestionFind the equation of the parabolic arch formed in the foundation of the bridge shown.(Write the equation in standard form, assuming that the bottom left end of the arch is at the origin.)70 ft70 ftProvide your answer below:y=(x -D +O

In this question we have to find the standard equation of parabolic shape.

Answered: Question Find the equation of the…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter11: Conics

Section11.2: Parabolas

Problem 11.38TI: Find the equation of the parabolic arch formed in the foundation of the bridge shown. Write the...

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Find the equation of the parabolic arch formed in the foundation of the bridge shown. Write the equation in standard form.
The filament of a light bulb is a thin wire that glows when electricity passes through it. The filament of a car headlight is at the focus of a parabolic reflector, which sends light out in a straight beam. Given that the filament is 1.5 inches from the vertex, find an equation for the cross section of the reflector. The reflector is 7 inches wide. How deep is it? The filament of a light bulb is a thin wire that glows when electricity passes through it. The filament of a car headlight is at the focus of a parabolic reflector, which sends light out in a straight beam. Given that the filament is 1.5 inches from the vertex, find an equation for the cross section of the reflector. The reflector is 7 inches wide. How deep is it?
If the arch from the previous exercise has a span of 160 feet and a maximum height of 40 feet, find the equation of the parabola, and determine the distance from the center at which the height is 20 feet.
Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. Suspension bridges The cable of a suspension bridge is in the shape of the parabola x22500y+25,000=0 in the coordinate system shown in the illustration. Distances are in feet. How far above the roadway is the cables lowest point?
Architecture A parabolic archway is 12 meters high at the vertex. At a height of 10 meters, the width of the archway is 8 meters (see figure). How wide is the archway at ground level?
An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 20 feet. Find the equation of the parabola, and determine the height of the arch 40 feet from the center.
Astronomy Some comets have a hyperbolic orbit, with the sun as one focus. When the comet shown in the illustration is far away from Earth, it appears to be approaching Earth along the line y=2x . Find the equation in standard form of its orbit if the comet comes within 100 million miles of Earth.
The mirror in an automobile headlight has a parabolic cross-section with the light bulb at the focus. On a schematic, the equation of the parabola is given as x2=4y . At what coordinates should you place the light bulb?
An arch has the shape of a semi-ellipse (the top half of an ellipse). The arch has a height of 8 feet and a span of 20 feet. Find an equation for the ellipse, and use that to find the height to the nearest 0.01 foot of the arch at a distance of 4 feet from the center.
A bridge is to be built in the shape of a semielliptical arch and is to have a span of 120 feet. The height of the arch at a distance of 40 feet from the center is to be 8 feet. Find the height of the arch at its center.
The light bulb in a flashlight is at the focus of the parabolic reflector, 1.5 centimeters from the vertex of the reflector (see figure). Write an equation for a cross section of the flashlight’s reflector with its focus on the positive x-axis and its vertex at the origin.
Wading Pool You are building a wading pool that is in the shape of an ellipse. An equation for the elliptical shape of the pool, measured in feet, is x2324+y2196=1 Find the longest distance across the pool, the shortest distance, and the distance between the foci.

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Question Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the equation in standard form, assuming that the bottom left end of the arch is at the origin.) 70 ft 70 ft Provide your answer below: y=(x -D +O