Standardize the conic whose equation is 7x2 + 4xy + 4y2 - 2x - 6y + 1 = 0.

Q: Identify the graph of the non-degenerate conic whose equation is 3x2 + y2 -30x+18y-45=0

A: Given  3x^2 + y^2 -30x+18y-45=0

Q: 15. x2 – 8x + 2y + 10 = 0 Equation:

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Q: 15. x2 - 8x + 2y + 10 = 0

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Q: Write the equation of the Conic, given its graph.

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Q: Write an orthogonal change of coordinates converting the equation of the conic 3x2+3y +3z+2ry+2rz…

A: Given equation , 3x² + 3y² + 3z² + 2xy + 2xz+2yz = 1

Q: What is the standard form of the conic defined by x + 2y² – 8y = 0?

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Q: Write the general conic

A: The standard equation of horizontal ellipse centered at h, k with semi major axis length a and semi…

Q: Identify the conic represented by the equation y2 + 4x + 2y - 15 = 0 without completing the square.

A: to identify the conic represented by the equation  y2+4x+2y-15=0

Q: Identify the conic represented by the equation 4x2 - 9y2 - 8x + 12y - 144 = 0, without completing…

A: 4x2-9y2-8x+12y-144=0 Comparing with Ax2+By2+Cx+Dy+E=0, we get A=4, B=-9, C=-8, D=12 & E=-144

Q: Find an equation for the conic whose graph is shown. y 15 10 X -15 -10 -5 5 10 15 - 10 - 15F

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Q: Find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy +…

A: To find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy…

Q: Identify the conic represented by equation 4x2 - 9y2 - 8x + 12y - 144 = 0 without completing the…

A: Given 4x2 - 9y2 - 8x + 12y - 144 = 0

Q: FRIRMO

A: Let's find.

Q: Analyze each conic.

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Q: How can you determine the type of conic section represented by an equation in general form?

A: Types of conic section and general equation

Q: find the vertices and foci of the conic section.  x 2/9 + y 2/4 = 1

A: A plane curve generated by a point so moving that the difference of the distances from two fixed…

Q: 5. Describe the conic section C whose equation is

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Q: Find an equation for the conic whose graph is shown. 2 (4, 2) 2

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Q: Identify and sketch the following conic 4x2 - y2 = 16

A: The solution is:

Q: x2 + y2 - 200x - 52500 = 0,

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Q: Standardize the conic with the equation 7x2+4xy+4y2--2x-6y+1=0

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Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

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Q: What are conic sections?

A: Our Aim is to define conic sections.

Q: How do I find the focal points of this conic?  27x2+16y2+324x-96y+684=0

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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: Explain what is the relation to the conic section

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

Q: Identify the conic section and graph. (x+7)^2/5^2+(y+3)^2/3^2=1

A: On simplification, we get Now it is in the form of . Therefore it represents an ellipse.

Q: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

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Q: identify the conic section. Find the vertices and foci.

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Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

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Q: -8 -6 -4 19 4 2 19 ∞

A: Graph of the right open parabola is given, we have to find its equation

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

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Q: Find the equation of the following conic in GENERAL form. V (3, -2), ends of latus rectum (-2, ½)…

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Q: Let (0,0) represent a water fountain which is located in a city park. Each day Jade runs through the…

A: Given,x2+y2-200x -52500 = 0x2- 2X100X x +1002 -1002+y2 -52500 = 0x2-200x+10000+y2 -62500 =…

Q: Find the equation of the following conic in GENERAL form. Transverse axis endpoints (2,3) and (2,…

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Q: Write the equation in standard form of the conic with the given characteristics: hyperbola: foci:…

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Q: Identify the conic represented by equation 16x2 + 64x + 9y2 - 54y + 1 = 0 without completing the…

A: A non degenerate conic section of the form Ax2 + Cy2 + Dx + Ey + F = 0,                 ----(i)…

Q: Determine the type of conics for each equation using the discriminant. 20. 5x2 + 2x + 3y - 5 = 0 21.…

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Q: Sketch the conic sections. Indicate the foci, and show your work: A) 4x2+3y2+8x-6y=5 B)…

A: A)Given equation is,

Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

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Q: Determine the center of the conic of equation: 16x² + 128r + 49y² + 588y = -1236. A) (4,6) В) (-4,…

A: Brief explanation of the answer is below.

Q: Identify the conic section and graph. (x-5)^2/100-(y+3)^2/64=1

A: We can compare the given equation with: So the given equation is a hyperbola.    Comparing we get:…

Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

Q: Write the equation in general conic form of the circle that passes through the points (0,0), (0, 6),…

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Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 without using a rotation of axes.

A: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 A standard form of conic is given…

Q: Find an equation for the conic whose graph is shown:

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