Find the point on the ellipse x2 + 3y + 2xy = 6 with the greatest x-coordinate. (Use decimal notation and fractions where needed. Give your answer as the coordinates of a point in the form (*,*).) (x, y) =

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

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Q: Find the points on the ellipse 4x + y² = 4 that are farthest away from the point (1, 0). (х, у) %3D…

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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: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

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Q: Find the equation of the parabola with vertex (−3,1) and y-intercept 2(or (0,2)).

A: We have to find the equation of the parabola with vertex (−3,1) and y-intercept (0,2).

Q: Find the slope of the ellipse x2 + 4y2 -10x - 16y +5=0 at the point where y=2 + 80.5 and x=7

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Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  vertex: (7, -4)…

A: Explained below

Q: Find the points on the ellipse  5x2 + y2 = 5  that are farthest away from the point (1, 0).

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Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: Find an equation of the parabola with vertex (-1,3) and directrix y=7 .

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Q: Find the point on the ellipse 4x2ty3=4 that are farthest away from the point (1,0) 4x27y2-4

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Q: # 3) Create the equation of the cubic, in standard form, that has x-intercepts of 3, -1, and 2…

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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 of one of the tangents to the ellipse 2x² + 4y² = 48 with slope of mt = 1.

A: The given equation of the ellipse is, 2x2+4y2=48 To find the slope of the tangent to the ellipse, we…

Q: Find the equation of the parabola with vertex (−3,1)(−3,1) and yy-intercept 22(or (0,2)(0,2)).

A: topic - equation of a parabola

Q: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

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Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: Find the length of the diameter of the ellipse 3x2+y2 +2x-6y=0. Which has a slope of 2.

A: Ellipse

Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). %3D (х, у)…

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Q: Find the points on the ellipse 4x2 + y2  = 4 that are farthestaway from the point  (1,0 ).

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Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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Q: the center-radius of the equationn 9x²-18 x+ 9+9y? + 12y=12 be obtained by adding both sides of the…

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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

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Q: Find the equation for the parabola that passes through the point (-2, -4), with vertex at (3,1) and…

A: Given

Q: A large racetrack can be modeled by the ellipse x² + y2 1, where x and y are 4 measured in…

A: Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

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

A: Given 3x2+y2=3

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (х, у) %3…

A: The distance between of two-points: - The length of the line segment connecting two places is the…

Q: Find equations for two lines through the origin that are tangent to the ellipse x - 8x + y² + 5 = 0.

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Q: Find the points of intersection of the parabola with equation 2x + y² + 4y – 2 = 0 and the line…

A: Here we find the intersecting point of parabola and the line.

Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

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Q: what is the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125?

A: Given5x+22+y−0.12=125

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

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Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

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

A:

Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

Q: Find the points on the ellipse 3x² + y“ = 3 that are farthest away from the point (1, 0).

A: For the Given Ellipse 3X2+y2=3 ,Points that are  Farthest away from the point (1,0) is calculated as…

Q: The equation of the sphere with center (7,-10, 1) that touches that y-axis is

A: To find the equation of the sphere we need center of the sphere  radius of the sphere.  Here given…

Q: Find the equation for the hyperbola that asymptottes (y - 3) = +- 1/square root of 2 * (x+3) and…

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Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4

A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3

Q: The length of the latus rectum of the ellipse defined by 25x2 +9y2 - 300x – 144 y + 1251 = 0 is 3.0…

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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)…

Q: Which is the equation of an ellipse with direcrices at x = =-4 and foci at (2,0) and (-2,0)

A: Center is the midpoint of the foci  midpoint of (2,0) and (-2,0) is : Directrix = -4

Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: Find the point(s) on the ellipse 4x² + y² = 4 that are farthest from the point (1,0).

A: We need to find the points on the ellipse that is farthest from the given point. According to first…