An engineer designs a satellite dish with a parabolic cross section. The dish is 5m wide at the opening, and the fucos is placed 1.2m from the vertex  a. Position a coordinate system with the origin at the vertex and the x-axis on the parabola's axis of symmetry and find an equation of the parabola b. Find the depth of the satellite dish at the vertex

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we…

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

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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: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: For the parabola with focus at (1, -3) and vertex at (-3, -3), find: a) The equation of the parabola…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given: The given equation is y=2x2-5x-3 To find: we have to find the x-intercept

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: Given a parabola's focus at (6, −4) and directrix at y = −7, how would you write its equation?

A: Equation of parabola: x-h2=4py-k Where vertex is (h, k) Focus is (h, k+p) And directrix y = k - p

Q: A certain bridge arch is in the shape of half an ellipse 148 feet wide and 32.1 feet high. At what…

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Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: The cables of the middle part of a suspension bridge are in the form of a parabola, and the towers…

A: Explained below

Q: Consider the parabola whose vertex us at (2,-1) amd focus at (0,-1). What is the general form of the…

A: Given, The vertex of the parabola = 2, -1  Focus of the parabola = 0,-1 We have to write the general…

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: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Parabola is a locus of such points whose distance is equal from a fixed point and fixed line. The…

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The casting has diameter 8  inches. Hence 2x=8, we have, x=4 inches Also depth = 1 inch, hence, y=1

Q: A cable suspended between two posts that are of the same height and 20 meters apart has a sag of 1/2…

A: Given: A cable suspended between two posts that are of the same height and 20 meters apart has a…

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: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: A satellite dish is being designed so that it can pick up radio waves coming from space. The…

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

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

A: A parabola is a type of curve which where the distance of any point of the curve is same from one…

Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

A: Since the parabola is symmetric to the y-axis and has vertex at the origin, The equation of the…

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: A certain bridge arch is in the shape of half an ellipse 134 feet wide and 34.6 feet high. At what…

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…

Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

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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: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

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Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

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

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

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

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Q: d the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE.)…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Suppose that two people standing 1.5 mi (7920 ft) apart at points A and B hear a car accident. The…

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Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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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: 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: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: At the points of x-intercepts, y coordinates are 0, as along x-axis y=0.

Q: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source, shown…

A: Given that, The casting has a depth of 2 inches that is y = 2 in. And the casting has a diameter of…

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Given data: The diameter of the reflector is 4 inches and a depth of 1 inch. it means x=2 and y=1.…

Q: pumpkil s maximum height is 3.28 feet and it hits the ground after 184.27 secon What is the…

A: Given query is to find the standard equation fo the perabola.

Q: A parabolic arch has a height of 16m and a width of 28m atthe base, If the vertex of the parabola is…

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…