. Identify what kind of conic section (circle, parabola, hyperbola, ellipse) each equation represents. If the conic section is a parabola, determine its opening (upward, downward, to the left, to the right). If it is an ellipse or hyperbola, determine the orieritation of its major axis Show your solution.

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A:

Q: Find the general equation of the ellipse that shares a vertex and a focus with the parabola defined…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: identify the conic of the equation 4x² + 9y² − 16x + 18y = 11, specifying the center and radius if…

A: The standard equation of a conic section is defined by the equation, Ax2+Bxy+Cy2+Dx+Ey+F=0 .

Q: state whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given that, x22 + y32 + z52 = 1

Q: Identify the conic section -3x? – 12x - 5y = 37 Parabola Ellipse O Hyperbola What are the…

A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

Q: Create a flowchart about in classifying conic sections as whether it is a circle, parabola, an…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The equation of the hyperbola that has a center at (5,4), a focus at (10,4), and a vertex at (8,4),…

A:

Q: 3.Determine the equation of an ellipse that satisfies the following properties: - the center point…

A:

Q: Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

A: we have to select the formation of an image

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: We know that standard position the equations of quadratic surfaces, Ellipsoid: x2a2+y2b2+z2c2=1…

Q: The equation of the hyperbola that has a center at (4, 2), a focus at (-1, 2), and a vertex at (0,…

A:

Q: 3- If the equation of the hyperbola is 4x? – 9y? = 36 Find the distance between the negative foci…

A:

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 2), and…

A:

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given, To determine whether the given equation defines an ellipsoid or hyperboloid, and if a…

Q: Identify what type of conic section is given by the equation below and then find thecenter, foci,…

A: We need to rewrite the equation in the form (x-h)^2/a^2-(y-k)^2/b^2=1 by using completing the…

Q: 2. Which conic section is represented by the equation y? – 2x² – 16 = 0? Нурerbola Ellipse Parabola…

A: To write that which conic section is represented by  y²-2x²-16=0

Q: Identify whether the graph of the equation is a​ circle, an​ ellipse, a​ hyperbola, or a parabola.…

A:

Q: Complete the square to determine whether the equation represents an ellipse, a parabola, a…

A:

Q: Consider the ellipse E of which one of its axes is known to measure 6 and E shares vertices and…

A:

Q: 14.) Find the center, foci, vertices, and eccentricity of the ellipse, and sketch the graph of (x –…

A:

Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci (c) 4x = y? %3D

A: identify the conic and use the equation to find the focus,

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: We need to find the nature of the graph of the given equation

Q: state whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: x2+3y2+9z2=1 On simplification, we get ⇒x21+y213+z219=1⇒x212+y2132+z2132=1⇒x12+y132+z132=1

Q: The equation of the ellipse that has a center at (8, 3), a focus at (4, 3), and a vertex at (3, 3),…

A: Given center (8,3) which is (h,k)Distance between center and vertex gives aWe know that distance…

Q: I was given a study packet (not graded) and I'm not sure I'm going about getting the equation into…

A: Given:

Q: 23. Find the foci of the ellipse. 3D1 169 144

A: Given equation is x2169 + y2144 = 1 ; x2a2 + y2b2 = 1  so, a2 = 169 and b2 = 144 c is the distance…

Q: The distance from the center to a vertex of the hyperbola 4 16 is

A:

Q: The equation of the hyperbola that has a center at (4, 6), a focus at (9, 6), and a vertex at (0,…

A:

Q: Graph the conic section with the given equation x2 = -8y. For ellipses, find the foci. For…

A: Given, x2=-8y

Q: Identify the conic section given by the following equation as a parabola, ellipse, circle, or…

A:

Q: 2. The x- coordinates of the foci of a vertical ellipse are equal.

A: ## we want to find that the given statment is true of false, the given statement is the x coordinate…

Q: Graph the conic section with the given equation 4x2 - y2 + 8x + 2y + 7 = 0.For ellipse, find the…

A: Given the equation of conics, 4x2-y2+8x+2y+7=0

Q: For the conic section described by the equation 5x^2 +3y^2 +20x -30y+20 =0 determine a) Is the…

A:

Q: (b) What can you say about the eccentricity if the conic sectionis an ellipse? A hyperbola? A…

A: Eccentricity- The eccentricity of a conic section tells us about its shape, it shows how much a…

Q: 4. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola and then…

A:

Q: How are the graphs of these ellipses similar and how are they different? are = 1 (x – 1)?, (v + 7)²…

A:

Q: Use the information provided to write the general conic form equation of each ellipse. 2 36 81

A:

Q: 19. State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola. 2x…

A:

Q: 5. Complete the square to determine whether the graph of the equation is an ellipse, a parabola, or…

A:

Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: Please see the explanation below

Q: Identify what type of conic section is given by the equation below and then find the center, foci,…

A: the given equation of the curve is: 4x2-24x-4y+28=y2 we have to identify what type of conic section…

Q: What type of the conic section is this given equation: 4x2 5x +23 = 2 (10 – 2y²) %3D | O HYPERBOLA O…

A: please check the given equation. for given equation, none type of conic section exist.

Q: 2. 3x + 5y? - 6x – 20y + 25 = 0

A:

Q: The equation (x+4)²+(-2)² =1 forms which of the following conic sections? 121 16 ellipse O hyperbola…

A:

Q: Sketch the graph and find the foci of the given hyperbola a. 4x2-9y2=36

A:

Q: Identify the conic section as a parabola, ellipse, circle, or hyperbola: The set of all points…

A:

Q: What is the geometric interpretation of b/a in the equation of a hyperbola in standard position?

A: