|For the equation 9x² – 8y² +36x+64y=164 . Determine whether the equation represents an ellipse, a parabola, or a hyperbola. . If the equation represents an ellipse, find the center, foci, and vertices. . If the equation represents a parabola, find the vertex, focus, directrix, and focal diameter. 1. If the equation represents a hyperbola, find the center, foci, vertices, and asymptotes. . If the equation represents a degenerate conic, say so and determine the resulting graph.

Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: Given:- foci of hyperbola -6,1 and -6,-9 and vertex -6,-1

Q: 8. Vertices: (12, 2) and (2, 2) Foci: (10, 2) and (4, 2)

A:

Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: The foci of the hyperbola is -6,1 and -6,-9 and vertex at -6,-1.

Q: B. Express each equation of the ellipse in standard form. Determine the equation and the length of…

A: We have to draw the ellipse.

Q: 22. Given the equation 25x2 +9y² – 100x + 72y + 19 = 0 a. Is the equation an ellipse, a hyperbola,…

A: The given equation is-…

Q: 45 sy = +x +

A: answer of given question is in next step

Q: 9. Draw the ellipse with the equation: 2x² + y² + 4x – 9y = 7. 1 Add file

A: the standard equation of the ellipse having the center at the point h,k is, x-h2b2+y-b2a2=1 Consider…

Q: Identify the equation as a circle, a parabola, an ellipse,

A: Introduction: If an equation of the conic section is ax2+by2+cx+dy+e=0. If, here a=b, then this is a…

Q: Find the vertices and locate the foci of the hyperbola with the given equation. Then graph the…

A:

Q: Graph the equation. Identify the vertices, co-vertices, and foci of the ellipse. List your vertices,…

A: Given equation of ellipse is 9x2+4y2=36⇒x24+y29=1 comparing this equation with x2a2+y2b2=1, we get…