Consider the conic section described by the equation 6x^2 -4xy +9y^2 -20x-10y-5. Find the associated quadratic form for this conic and write it in matrix form Fond an orthogonal diagonalization for this quadratic form and use it to rewrite the equation as a recognizable shift conic section. which type of conic section is this?

Q: Identify and find the equation of the conic in standard form: vertices at Vi(12, 4) and V2(-10,4),…

A: Given: Vertices: V1 = (12,4) ,  V2 = (-10,4) Foci : F1 = (10,4)  F2 = (-8,4)

Q: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the…

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and…

Q: Express the following equation in standard form, identify the conic section, and state the locations…

A: Conic section

Q: Identify the conic section that equation 16x^2-96x+288=9y^2 represents and find either: a) it’s foci…

A: We use completing square method to convert it into standard form

Q: Match each equation to the conic section it creates. (x+5)² 25 a. + (y-2)² 4 b. 3x³ + 4y = 25 d. = 1…

A: a. The standard equation of a ellipse is (x+x0)2a2+(y+y0)2b2=1.So (x+5)225+(y-2)24=1  is equation of…

Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

A:

Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

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

A:

Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

Q: write the standard form equation for the conic with center at (-8,14), vertices at (-1,14) and…

A:

Q: Identify the conic by writing its equation in standard form. Then sketch its graph. y² - 4y - 4x = 0…

A:

Q: Write the equation in standard form, identify the conic and the location of its center or vertex:…

A: We have to find the equation of the conic.