A lamp has the shape of a parabola when viewed from the side. The light source (which is at the focus) is 2 centimeters from the bottom of the lamp and the lamp is 32 centimeters deep. How wide is the lamp? ? cm a, 32) ? cm a, 32) (0, 2) 32 cm 2 cm Light (0, 0) 2 cm source 32 cm cm

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

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

A: We will solve the following.

Q: What is the length of the minor axis of the ellipse given by the equation = 1? 169 64 O 64 units O…

A: The equation of the ellipse is given by x2169+y264 = 1…

Q: The cable of a suspension bridge hang in the shape of parabola the tower supporting the cable or 400…

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Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…

A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: 4.17 feet

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 eccentricity of a hyperbola with major and minor axes of 8 and 6 units, respectively?…

A: For the solution of the problem follow the next step.

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: 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 transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

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: What is the length of the latus rectum of a parabola having its vertex at the origin and focus at…

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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: 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: How many points of intersection are there between the graphs of the hyperbola and ellipse? Зx2 — 4у?…

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Q: 26. The area of the largest triangle that can fit in an ellipse with the major and minor axes of 9…

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Q: One of the most important applications of parabola are their reflective properfties. Light rays…

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

A:

Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

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: A satellite dish has a shape called a paraboloid, where each cross-section is a parabola. Since…

A: A satellite  dish is given which has a paraboloid shape.

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

A: It is given in the question that for x=64(end-to-end), y=8. Assuming the general equation of the…

Q: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

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

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

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

A:

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

A: Given: A satellite dish is shaped like a paraboloid of the revolution. this means that it can be…

Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

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: Given the points A(3,1, 6), B(5, –1, –2), and C(1, –3, 2) a. Show that A, B, C form the vertices of…

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Q: 3. Plot and label the center, vertices and foci of the ellipse and hyperbola and parabola. a. 4x? +…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: I dont understand if this is a completing a square problem and if so how i would go about solving…

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

A:

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

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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: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A: To find the distance

Q: car is traveling at night along a highway shaped like parabola with its vertex at the origin (see…

A:

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

A: Explanation: According to the given situation,  center of the parabola is (0,0) It means two points…

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: 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: 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: Find the dimensions of the rectangle of largest perimeter that can be inscribed in the ellipse x2/a2…

A: Let 2x,2y be the length and width of the ellipse that is inscribed in ellipse  Then , perimeter of…

Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…

A: x=12y+52-2 On simplification, we get ⇒12y+52=x+2⇒y+52=2x+2⇒y--52=2x--2 Now it is in the form of…