When Ms Bibbig kicked a soccer ball, it traveled a horizontal distance of 150 feet and reached a height of 100 feet at its highest point. a) Write an equation for a parabola that models it. b) How far (horizontally) is the ball from Ms. Bibbi when it is 25 feet high? 80- 60+ 40- 20+ 60 120 x

Q: Give the property that defines all parabolas.

A: A parabola is a plane curve and it is mirror-symmetrical and approximately it can be in the shape of…

Q: .what does the axis of symmetry do to the parabola?

A:

Q: An equation of the parabola is

A: x-h2=4py-k whereh,k is centre then focus is h, k+p  and directrix is y=k-p

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A: A parabola can have symmetry about the y-axis. For example:

Q: 3. The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the…

A: Solution:-   First we are draw a rough diagram based on the given problem.      Both towers are…

Q: -10 -5 10- 5- 0 --5- -10- 15 (0,-16) 5 10

A: We have given curve of parabola.

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A:

Q: 1. The cables that hold up a suspension bridge form a parabola. The distance between the towers is…

A: Given, Distance between the towers is 600ft.Height of the tower's each = 500ft.Let equation of the…

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A:

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

A:

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A:

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A:

Q: Write the standard form of the equation of the parabola that has the indicated vertex and pa Vertex:…

A:

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

A:

Q: 1. The cables that hold up a suspension bridge form a parabola. The distance between the towers is…

A: Find the horizontal distance between the origin and each tower: Distance between towers=600Assuming…

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A: General Equation of Parabola : y-k2=4p(x-h) --(1) Where (h,k) is the vertex of the parabola Focus is…

Q: .כ Find the ared of a parabola which is inscribed in a rectangle 40 cm long and 25 cm wide.

A: We know are of parabola is( 2/3) ×b×h Where b is base of parabola and h is height of parabola.

Q: 2- х Find the average height of the arch above the An arch is 675 ft high and has a 560-ft base. It…

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

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Q: A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=16x2+4y2=16. What is…

A: Let A=the area of the rectangle x=half the base of the rectangle So, A=2x·216-x22;0≤x≤4   =2x16-x2…

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A:

Q: A certain bridge arch is in the shape of half an ellipse 104 feet wide and 32.3 feet high. At what…

A: Given , a certain bridge is in the shape of half an ellipse which is104 feet wide & 32.3 feet…

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A: To find: The equation of the parabola that is shown in the given figure.

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A:

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."

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A: Given: An arch 18m high has the form of parabola with a vertical axis. The length of a horizontal…

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Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

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Q: the length of the latus rectum of the parabola 4y=x^2-6x+21 is

A:

Q: In order to hear what is said in a football huddle, a listening device is set up on the sideline. It…

A: Given that, In order to hear what is said in a football huddle, a listening device is set up on the…

Q: Give a world problem about parabola. Explain.

A: Give a world problem about parabola .

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

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: 3.

A: The equation of parabola in vertex form is : y = a*(x-h)2 + k where, vertex : (h, k)

Q: The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge…

A: Cable is 116 meters high at 120 meters away from the tower. Answer and explanation is given below

Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

A: Cross - section of nuclear power plant

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10 –…

A:

Q: 3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the…

A: according to our guideline we are supposed Answer only the first question if you want any particular…

Q: How many derivations are required for the problem involving parabolas with axis parallel to the…

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

Q: What is the length of the latus rectum of the parabola: y2 – 4y – 8x – 28 = 0?

A: Given, y2 – 4y – 8x – 28 = 0 General equation of parabola with center (h,k) (y-k)2=4a(x-h)    ---(i)

Q: Arrange the hyperbolas, represented by equations, in increasing order of the heights of their…

A: Introduction: The equation of the vertical hyperbola is (x-h)2a2-(y-k)2b2=1 and the height of the…

Q: If you are given the standard form of the equation of aparabola with vertex at the origin, explain…

A: The standard form of a parabola with vertex at the origin is…

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: Find the equation for the parabola that has its vertex at the origin and has directrix at a The…

A: Given that, Vertex of the parabola are, (h, k) = (0, 0) And diretrix of parabola is x = - 12 We have…

Q: Determine the equation of the parabola shown.

A: From the given equation of the parabola, the graph crosses the x-axis at two points which are x = -5…

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.