.What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex can be found at (0, -9)?

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: Let P and Q be distinct points on the parabola y = 2r such that a circle with PQ as diameter passes…

A: The given equation of parabola y2=2x Let P and Q be points on the parabola  Parametric coordinates…

Q: If the center of a hyperbola with a horizontal transverse axis is (2, 3) and a² = 25, then the…

A: Given Center of horizontal tranverse axis of hyperbola=(2,3)That is (h,k)=(2,3)And a2=25To find co-…

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: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

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Q: Given a focus of (2, 4) and a directrix of y= -2, find the equation for the parabola. (2-

A: Given:    focus (2 , 4)    directrix y = -2

Q: If the directrix of a parabola is x = 2, and the focus is (−4, 0), determine the focal length and…

A: Draw the focus (-4,0) and directrix x=2 Distance from focus to directrix is 2-(-4)= 6 Focal length…

Q: suppose that the bulb of a flashlight is placed at the focus of its parabolic reflector. if the…

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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: Find an equation of the circle that has a diameter as the distance between the two vertices of the…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

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

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Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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Q: find the coordinates of the foci and vertices, the endpoints of the transverse axis, conjugate axis,…

A: Given:- x9/9- y2/25=1 To find:- find the coordinates of the foci and vertices, the endpoints of the…

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

A: Given:

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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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: 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: 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: Given a parabola with vertex at (8,-4) and focus at (-4,-4), determine the equation of the parabola.…

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

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Q: Given the parabola x^2=4y, a line passes through point A (4,4) and the focus of the parabola. Find…

A: Topic:- Parabola

Q: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

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Q: From any point (N) on a hyperbola, the combined distances to the foci (f1 and f2) is equal to what?

A: A hyperbola is two curves that are like infinite bows. Looking at just one of the curves: any point…

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: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

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Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem.  We know      Distance (D) = sqrt {(x-x1)2…

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: Find the general form and graph of the focal width of a parabola is 14 units and its vertex can be…

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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: Find the foci and vertices given by each of the following hyperboles. y^2/16-x^2/64=1

A: we have to find the foci and vertices of the given hyperbola

Q: ow that, the equation 3x -y + 5x – 2 = 0 repr ngent at the vertex, directrix, latus rectum, len…

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Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

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: 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 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: help in 30mins pls

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Q: given the directrix of y = 6 and focus of (0, 4) which is the equation of the parabola

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Q: Find the equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…

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Q: If the center of a hyperbola with a horizontal transverse axis is (2, 3) and a2 = 25, then the…

A: Center of the hyperbola is, h, k=2, 3⇒h=2  &  k=3&a2=25⇒a=5 Therefore vertices are, h-a, k…

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

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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: Given the following information about the hyperbola, find both its standard and general form= FOCI:…

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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: The equation of the shown hyperbola is given by Fou Fou Select one: (x– 1)? _ (v+2}? , 9. 5 (y+2}? _…

A: Explanation of the answer is as follows

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…