Find the equation of the directrix of the parabola y^2 = 16x. 8. Find the length of major axis of the ellipse x^

Q: A searchlight is shape like a parabola of a revolution. If the light source is located 2 feet from…

A: Given that , vertex of parabola h,k=0,0 focus of parabola 0,a=0,2 Depth of light y=4 feet Width of…

Q: Find the standard equation of the hyperbola. Two corners of auxiliary rectangle at (−4 ,−7) and (0…

A: Given: The two corners of the auxiliary rectangle of a hyperbola are at -4,-7 and 0,0 and transverse…

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

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Q: Find an equation for parabola with vertex  (−1,3) and directrix x=−4.

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Q: What is the general equation of a parabola that opens upward with V(-1,2)?What is the equation of a…

A: Consider the given vertex. V=(-1,2)

Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x, y) =…

A: We have to find the point which is farthest away from the point 1,0 at the ellipse: 4x2+y2=4 Writing…

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: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: Find the standard form of the equation of the ellipse satisfying the conditions. Major axis…

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Q: How is a hyperbola different from a parabola?

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Q: 15 2. Find the equation of a parabola through(-, 2) and (0,–1) whose axis is parallel 4 to the…

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Q: What is the equation of the parabola which has vertex (1,2) and y-intercept y = 1?

A: See the details solution in below

Q: Write the equation of the hyperbola that has a center at (2, – 4), a focus at ( – 2, – 4), and a…

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Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is…

Q: According to Kepler, the orbit of the planet could be drawn as ellipse and with the sun as one of…

A: We have to find the equation of Pluto’s orbit when  the orbit of the planet could be drawn as…

Q: 2. what is the general equation of a parabola that opens upward with v(-1,2)?

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

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Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: Find the equation for the parabola that has its vertex at the 1 origin and has directrix at y 41…

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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: What is the equation of the hyperbola with vertices at (-3,0) and (3,0) and whose conjugate axis has…

A: Hyperbola A hyperbola is a locus of points in such a way that the distance to each focus is a…

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The…

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Q: What is the equation of parabola in standard form whose focus is at (-4,0) and the directrix is at…

A: Note that, the equation of the parabola with the directrix x+a=0 and the focus (a,0) is y2=4ax.

Q: Find the larger dimension of this rectangle. If a rectangle of maximum perimeter is to be inscibed…

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Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?

A: We need to find equation o hyperbola.

Q: A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has.…

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Q: Find the standard equation of the hyperbola that satisfies the conditions Center (0 ,5), one corner…

A: The equation of hyperbola with center ( h , k ) and the conjugate axis, vertical is as follows.…

Q: Find the equation of the hyperbola whose center is at point (4,−1), transverse axis parallel to…

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Q: Regarding the orbit of the planet Mercury, we know, according to the National Encyclopedia, that it…

A: Given information: The minimum distance to the sun is 0.31 AU and that the maximum distance is 0.47…

Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?

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Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

Q: What is the maximum area of a rectangle inscribed in the ellipse defined by x2/64 + y2/25 = 1? Enter…

A: Let the length and breadth of the rectangle as x, y respectively Area of rectangle = xy Now…

Q: Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)

A: Since you have posted multiple question but according to guidelines, we will solve first question…

Q: 2) WHAT ARE THE STANDARD EQUATIONS OFA HYPERBOLA WITH A HORIZONTAL TRANSVERSE AXIS AND OF A…

A: Solution is given as below:

Q: Find the equation of the hyperbola with center at (-3,3); transverse axis parallel to y-axis; length…

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Q: A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

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Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: How can you distinguish parabolas from other conic sections by looking at their equations?

A: Query- How can you distinguish parabolas from other conic sections by looking at their equations?…

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F, (0, 0) and F2 (0, 4).

A: Since, the foci of the given hyperbola are F′(0,0​) and F(0,4​) which lie on the X-axis and…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: One successful method to treat kidney stones is by emerging the patient in an elliptical tank and…

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Q: What is the equation that represents an ellipse with foci at (3, 2) and (–9, 2) that passes through…

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Q: what is the equation of a horizontal ellipse centered at the point (9,4) whose major axis is 22…

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Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…