A parabola in standard position passes through the point (3,6). What is the equation of its directrix? Possible answers: a) x = -6 b) x = -3 c) x = 3 d) x = 6 e) it is not possible

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

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Q: Given the focus and directrix of a parabola, identify its important characteristics. 10 8 -10 -8 -6…

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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: A radio telescope has a parabolic surface. If it is 9 m deep and 12 m wide, how far is the focus…

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

A: A hyperbola has two curves that do not touch each other.  A hyperbola is a curve whose equation is…

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

A: The length of latus rectum of parabola = 4a

Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

Q: b)lnscribe an ellipse in a parallelogram of sides 150 x 100 mm with an inclined angle of 120 ".

A: Let's find.

Q: 2. The points where a hyperbola intersects the line through the foci are called the

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Q: A ship is following a course that is 104 miles from and parallel to a straight coastline. The ship…

A: Given: Let A represent the location of origin. As a result, its coordinate is (0,0). Because the…

Q: 7, All circles of radius 5, with their centres on the y-axis. 8. All parabolas with x-axis as the…

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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: Find the standard equation of the sphere that has the points (5, −2, 3) and                  (0, 4,…

A: we know that equation of sphere which has end points of diameter as x1,y1,z1 and x2,y2,z2 is given…

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

A: Given the foci of the hyperbola (0,-5) and (0,5) .We know that the foci of hyperbola is represent by…

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

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Q: Two equal parabolas have the same vertex and their axes are at right angles. Then the angle between…

A: Two equal parabolas have the same vertex and their axes are at right angles Graph :-…

Q: If the coordinates of the ends of a focal chord of the parabola y²=4ax and (x,,y,) and (x,.y;) then…

A: Consider the given parabola y2=4ax Suppose Ax1 , y1  and  Bx2 , y2 be the ends of the focal chord of…

Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

Q: A satellite dish measures 64 feet across its opening and 16 feet deep at its center. The receiver…

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Q: The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the…

A: Topic  =Geometry

Q: A building facade is in the shape of a semi ellipse, with the major axis as the span. If the span is…

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Q: Define the term parabola?

A: Given: The term parabola.

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: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

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Q: An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet. How…

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

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Q: Why is distance between vertices for hyperbola equal to 2a?

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Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

Q: The line segment perpendicular to the transverse axis passing through the center of a hyperbola, and…

A: Consider a parabola figure

Q: 2. 3x + 5y? - 6x - 20y + 25 = 0

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Q: What is a parabola? What are the Cartesian equations for parabo-las whose vertices lie at the origin…

A: Explanation:

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: A parabolic arch has a span of 48m and has a height of 20m at a distance 16m from the center of the…

A: It is at a distance 16m from the center of the span.To Find:1. What is the height of the parabolic…

Q: Find the length of the latus rectum of the parabola x2 = 4py. Then find the length of the parabolic…

A: Given , Equation of parabola  x2 = 4py     Comparing with the Standard Equation of Parabola  x2=4ay…

Q: 40. y² – 16x² + 64x 208 = 0

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Q: A tunnel through a mountain for a four lane highway is to have an elliptical opening. The total…

A: Given information: A tunnel through a mountain for a four lane highway is to have an elliptical…

Q: 1. The distance between the foci of an ellipse is equal to 8 and the second eccentricity is equal to…

A: Solution 1: Given that, distance between foci is 8. eccentricity is 1.33. Since we know that,…

Q: A flashlight is shaped like a paraboloid, so that if its light bulb is placed at the focus, the…

A: Given :  The paraboloid has a depth of 1.8 in  and the diameter on its surface is 6 in .   Schematic…

Q: 3. An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet.…

A: In this question, we need to find how wide is the arch at a height of 8 feet above the base.

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…

Q: What will be the equation of hyperbola that satisfies the given condition foci at (+ 24,0) and the…

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Q: The hyperbola centered at the origin with vertices (0, 9) and (0, -9) and a conjugate axis 16 units…

A: Vertices = (0 , ±a) length of conjugate axis = 2b equation of hyperbola = y2a2-x2b2=1

Q: what is the equation of the geodesic in the hyperbdic upper half-plane that joins -1+i with Iti

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Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters.…

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Q: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point

Q: A parabolically shaped bookshelf has a width of 14 feet 8 inches at the top and height 8 ft. 4 in..…

A: Consider the given information as, width=14feet  8 inches and height =8ft 4 in

Q: Introduction outline about three iconic circles (ellipse, parabola, hyperbola)

A: To give an introduction about parabola, ellipse and hyperbola.