The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of 4 inches and a depth of 2 inches. How far from the vertex should the light bulb be placed?

Q: Find the coordinates of the foci for the following hyperbola. (x – 5)2 (y + 7)² = 1 16 25

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Q: A radio telescope in the Very Large Satellite Array at Socorro, New Mexico, has the shape of a…

A: Solution is given below

Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

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Q: The chord of a parabolic arch is 10 cm and is 12 cm from the vertex. Calculate the perimeter of the…

A: The formula for perimeter of parabola is P=12b2+16a2+b28aln4a+b2+16a2b, where a is the distance of…

Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates…

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: A radio telescope in the Very Large Satellite Array at Socorro, New Mexico, has the shape of a…

A: Given, a radio telescope in the very large satellite Array at Socorro.New Mexico, has the shape of…

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: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?

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Q: Draw a shape in Quadrant III (lower left) that is not symmetrical. Then draw the result of rotating…

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Q: A searchlight is shaped like a paraboloid of revolution. If the light source located 4 feet from the…

A: Consider the following figure:

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: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 8…

A: Since, it is given that the reflector of the flashlight has the shape of parabola.Suppose the…

Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

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Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: A rectangle with sides parallel to the coordinate axes is inscribed in an ellipse (Figure 12a)…

A: Let the length of the rectangle is = 2x  Let the height of the rectangle=2y (as shown in the…

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: A lamp has the shape of a parabola when viewed from the side. The light source (which is at the…

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Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

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

A: Desining a flashlight: Position the parabola with its vertex at the origin and opening upward.…

Q: The towers of a 60 meter parabolic suspension bridge are 15 m high  and the lowest point of the…

A: Topic name-  use of parabolic formulas  in practical design

Q: Given the directrix and vertex, what would the equation of the parabola be? (1, 2) O (y – 2)² = 6 (x…

A: We have to find the equation of parabola

Q: The parabola y = x² is shifted up by 4 unit %3D What is the equation of the new parabola?

A: Parabola:y=x2  shifted up by 4 units

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 cables of a suspended-deck suspension bridge are in the shape of a parabola. The pillars…

A: Here we us ethe standard form of the parabola vertex at (h,k) is  (x- h)2 =4a(y-k)

Q: A geometry textbook gives the equation of a parabola as y = x^2, where x and y are measured in…

A:

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: Given: A search light is shaped like a paraboloid of revolution. If the light source is located 4…

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

A:

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

A: How far from the vertex should the light bulb be placed?

Q: What is the length of the transverse axis of the hyperbola whose foci are (0,-5) and (0,5), and…

A:

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

A:

Q: The points where a hyperbola intersects the line through the foci are called the _____

A: The line through the foci is the major axis. Where it cuts the hyperbola is the vertices.Answer: The…

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

A: Here we use the concept of conic section

Q: given the directrix of y = 6 and focus of (0,40, which is the equation of the parabola?

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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: A carpenter wants to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood. She…

A: to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood.

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: Given the ellipse x^2/16+ y^2/4=1. What is the area of the largest rectangle that can be cut from…

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Q: A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid,…

A: Given: A sound receiving dish used at outdoor sporting events is constructed in theshape of a…

Q: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

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: An arch in the shape of an arc of a parabola measures 6m across the base and its vertex is 2.5m…

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Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: Sothea needs to find the surface area of this regular polygonal pyramid. What answer should she get?

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

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