A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball is 30 yards. Find the height of the ball 5 yards before it hits the ground. step by step explanation

Q: A parabola opening up or down has vertex (0, 4) and passes through (-12, -8). Write its equation in…

A: Given: vertex   0,4   and  point  -12,-8

Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

A: given: A one way road passes under an overpass in the shape of half an ellipse, 25 ft high at the…

Q: find the equation for the parabolic cooker.

A:

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A: NOTE: Refresh your page if you can't see any equations. . The vertex form of the left-right parabola…

Q: Help the fix the parabola

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Q: The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of…

A: We have to find the length of the cable.

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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Q: The towers of the Golden Gate Bridge connecting San Francisco to Marin County are 1280 meters apart…

A: Given: The towers of the Golden Gate Bridge connecting San Francisco to Marine Country are 1280…

Q: The towers of the Golden Gate Bridge connecting San Francisco to Marin County are 1280 meters apart…

A:

Q: A suspension bridge has a cable shaped like a parabola. The bridge is supported by two towers. The…

A: Eq of parabola in this case is X^2=4ay

Q: A sculpture has a hyperbolic cross section with height of 24 feet as seen in the figure. Write an…

A: The solution is given below in the next step:

Q: An artist bends a long plank of wood into the shape of a parabola. The horizontal distance between…

A:

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11…

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Q: The shape of the Gateway Arch in St. Louis is approximately a parabola with a base and a height…

A:

Q: A race track is in the shape of an ellipse. The track is 100 feet long and 50 feet wide. Find the…

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Q: The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road. The cable…

A: From the given data and figure,   Its look likes open upward parabola   The low point of the cable…

Q: Find the point on the parabola y2=2x that is closest to the point (1,4). (Use calculus please,thank…

A: Given data: the given equation of a parabola is  y2=2x. The given point is (a, b)=(1,4).   The…

Q: Find an equation of a sphere if one of its diameters has endpoints (5, 0, 6) and (7, 4, 8).

A: Solution of the problem as follows

Q: find the length of the major axis and the length of the minor axis of each ellipse. 16x2 + y2 = 64

A: An ellipse is a closed figure whose general equation is of the form (x-h)2a2+(y-k)2b2=1 wherein the…

Q: feet apart and 40 feet high. The cable hangs in the form of a parabola and the lowest point of the…

A: Given, a cable of a horizontal suspension bridge is supported by two towers 120 feet apart and  40…

Q: According to the figure, find the equation of parabola: - 2 (-2,1) -5

A: (y-k)2 = -4a(x-h) is a equation of parabola opening in negative direction of x-axis. (h,k) is vertex…

Q: Sketch a parabola with zeros at -5 and 7. Will everyone's sketch look the same? Explair answer.

A: In this question we will use basic of algebra i.e concept of parabola or quadratic equation. First…

Q: The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the bottom of the…

A: Let the midpoint of the smallest diameter be  origin, smallest diameter be x-axis and vertical line…

Q: 2. is the width of the track 15 a from esther vertex? A jogging path is in the shape of an ellipse.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.

A: Actually, there cannot be two different parabolas with same focus and vertex..

Q: Find the area of the largest rectangle that can be inscribed in the ellipse x2 1. b2 +

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Q: -10 10

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Q: Find an equation of a sphere if one of its diameters has endpoints (7,9, 9) and (3, 5, 7).

A: Given end points of diameterA=7,9,9 & B3,5,7

Q: (a) Derive the equation of the parabola x² = 4py.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: It is given that, "I threw a baseball vertically upward and its path was a parabola."

Q: An underpass in Central Park is in the shape of a parabolic arch. Find the span of the arch given…

A:

Q: Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7).

A: The endpoints of the sphere we have, (7,9,9) and (3,5,7)

Q: A bridge is designed with an arch in the shape of a parabola. It is to be constructed over a…

A: solution:-

Q: A rotating sprinkler head with a range of 50 feet is to be placed in the center of a rectangular…

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Q: The hyperbolic representation of a 160-meter-tall tower can be modeled by (x^2)/25 - (y^2)/225 = 1…

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Q: A concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long and the…

A: Given that, a concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long…

Q: A satellite dish has the shape of a parabola when viewed from the side. The receiver (which is at…

A:

Q: The towers of the Golden Gate Bridge connecting San Francisco to Marin County are 1280 meters apart…

A: The parabola is a u-shaped graph of a quadratic function. The general equation of a parabola is…

Q: The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cables…

A: It is given that the towers supporting the cables are 800 feet apart and 100 feet high and it is…

Q: A scuipture has a hyperbolic cross section with height of 24 feet as seen in the figure. Write an…

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Q: Find the attributes of the parabola. Provide the equation for the quadratic function.

A: Given To find the attributes of the parabola and provide the equation for the quadratic function.

Q: What is the height of the cable at a point 200 feet

A:

Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

Q: The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road. The cable…

A: From the given figures, Suppose that the place of vertex at the origin, so the parabola has y-axis…

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A:

Q: The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the bottom of the…

A: In this question, the concept of the hyperbola is applied. The standard form of a hyperbola…

Q: A sprinkler system shoots a stream of water that follows a parabolic path. The nozzle is fastened at…

A: Given that Nozzle is at origin and the stream of water follows a parabolic path. Water reaches a…

Q: find the general form of an ellipse. The sum of the distances from the two foci (-5,0) and (5,0) is…

A: This question is based on ellipse equation.

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A:

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A:

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.