2) x2+12xy-4y2 = 30 Just draw by finding the reduced equation

Q: What.conic section is described by the follawing equation 4z +y |8z | 4y=15 K ASperbola D Ellipse…

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Q: What is the image of the point (-2, 4) after a rotation of 270 counterclockwise about the origin?

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Q: Let S be the quadric with equation 36x² – 4y² – 9z2 – 36x = 0 • Classify the graph of S…

A: Given, S is the quadric with the equation                                36x2-4y2-9z2-36x=0

Q: Amie claims that the equation 4(x+3)' +y² =1 represents a circle with the center at (-3,0) and the…

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Q: 5, Rearrange the equation 4x² + 20x = 6y + 36y + 5 into the standard fo %3D hyperbola.

A: Given query is to find write the standard form of hyperbola.

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

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Q: Graph the Image of APOR after a rotatilon 270° counterclockwise around the origin. 10 -10 一4 -2 2. 4…

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Q: 8. Determine the Equation of the Hyperbola if the Transverse Axis is 8 and the Foci are at (0, ±6)

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Q: Choose the type of the conic section. O hyperbola O parabola

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Q: What is the standard equation of the hyperbola if the length of its transverse axis is 12 and one of…

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Q: State whether the equation () + ()ʻ + 4z² : = 1 defines a paraboloid (elliptic) an ellipsoid a…

A: The solution are next step

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 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 an equation of the sphere that passes through the point (1, 8, 5) and has center (3, 1, −3).

A: We have to find equation of sphere.

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: Find the equation of the plane perpendicular to the y-axis and passing through the point (3,2,-2)

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Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A: 3x2-7y2=z On simplification, we get ⇒z=x213-y217⇒z=x2132-y2172⇒z=x132-y172

Q: Find the radius and center of the sphere described by 3x2 + 3y2 + 3z2 + 6x – 6y = 3.

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Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…

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Q: 2. What is the equation of a horizontal hyperbola with (x-4)² 81 (y + 3)² 81 (x-4)² 25 (x-3)² 25 (y…

A: Given problem:- What is the equation of a horizontal hyperbola with a center at (4,-3), a transverse…

Q: which conic was Euclid's favorite and why?

A: The four types of conic sections are a. Ellipse b. Parabola c. Hyperbola d. Circle

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: What is the relation of the conic section to the milk bottle?

A: The milk bottles have a cylindrical body in majority.  Now, if you can imagine a milk bottle filled…

Q: suppose that a non periodic comet will visit the solar system with the sun located at the focus of…

A: Parabolic trajectory of comet is 16y - 24 = x2. and sun located at its focus while earth at the…

Q: If P1 and P2 are two points on the conic whose angles θ1 and θ2 differ by 180° , show that the…

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Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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Q: Find equations for the osculating circles of the parabola y=0.5x2 at the points (0,0) and (-1,1/2).

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Q: length of the latus rectum of a hyperbola is equal to 18 and the di equation of the curve if the…

A: The length of the latus rectum = 18,  The distance between the foci = 12,  We have to find the…

Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A:

Q: Suppose that a dome has a semi elliptical ceiling, 96 ft long and 23ft high. Choose a coordinate…

A: Given that semi elliptical ceiling, 96 ft long and 23 ft high. Given that 2a=96 obtain the length of…

Q: 2. Does the equation x² + y² + z²-3x - y + 3z = 0 represent a sphere? If so, find the center and the…

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Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

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Q: What are the coordinates of the end points of the latus rectum of the parabola with equation a - 2z…

A: What are the coordinates of the end points of the latus rectum of the parabola with equation…

Q: Identify the type of conic section whose equation is given. 3x2 = y + 3

A:

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: 4x^2 - 3y^2 + 12z^2 + 12 = 0

A:

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

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Q: 5b. Solve the problem and upload your work here.* In the accompanying diagram of parallelogram ABCD,…

A: In parallelogram sum of any two adjacent angles must be 180°.

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

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

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Q: 19. If A = 40cj120". B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

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Q: Which conic section is represented by the equation 2x2 + 4x - y+9= 0?

A:

Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

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: 1-Sketch the following conic sections:. ,2-4y+8-42 0 b- y2 -4y-4x2 -8 3 -s)2 -7(*+1 -1 a- C-

A: Since you have posted multiple questions we solve the first three sub parts of first question for…

Q: The parabolic antenna has an equation of y^2 + 8x = 0. Determine the length of the latus rectum.

A: Here we use the standard form of parabola.

Q: Two large airship hangars were built in Orly, France, in the early 1900s but were destroyed in World…

A: (a). It is given that, the length of hangars is 175 m, the width of the hangers is 90 m and the…

Q: 9. Find equations for two lines through the origin that are tangent to the ellipse 1² – 4x + 4y² =…

A: We have to find