Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all. (a) 4x² – 9y² = 12 (c) 4y² + 9x² = 12 (b) –4x +9y² = 0 (d) 4x³ + 9y³ = 12

Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

Q: What is the standard form of the parabola, y + 2x + 10y + 9 = 0, given in conic form?

A: Do some rearrangement in the equation of given conic to convert it in standard form of equation

Q: Find the standard form of the equation of the hyperbola.

A: To find the standard form of the equation of the hyperbola.

Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 8, and a vertex at…

A: Major axis can be found by using distance formula between center and vertex.

Q: d the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0).

A:

Q: Write the equation of the hyperbola with centre at (-3, –1), vertex at (-6, -1), one asymptote with…

A: Option a is correct.

Q: classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. With…

A:

Q: B. Determine the standard form of equation of the hyperbola whose general form is given. 4. 4x - 3y…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: An architect designs two houses thath are designed and positioned like a part of the branches of the…

A: Given: 625y2-400x2=250000 We know that the general equation of a hyperbola is:

Q: Determine the coordinates of the foci of the hyperbola 9x² - 4y² - 90x + 189 = 0

A: The given equation of hyperbola          9 x^2 - 4 y^2 - 90 x + 189 = 0 ...............( 1)  First…

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 of the ellipse whose foci are the vertices of the hyperbola x2-4y2=16 and whose…

A: We know that,              Hyperbola vertices given x2-4y2=16:  4, 0, -4, 0Hyperbola foci given…

Q: Find the standard form of the equation of the hyperbola.

A: Given: Find the standard form of the equation of the hyperbola.

Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

Q: Find the standard form of the equation of the hyperbola.

A: The standard equation of a hyperbola opening left and right is given by x-h2a2-y-k2b2=1 Where (h,k)…

Q: Determine the type of conic section, give its equation, and clearly graph with coordinates: 9x2 +…

A: According to the given information it is required to determine the type of conic section and graph…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4x 2−…

A: An equation has to have x2 or y2 to be an equation of any conic sections. If, in an equation neither…

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: Find the equation of a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

Q: Find the length of major axis of the ellipse x^2+4y^2-2x-8y+1=0

A:

Q: 3. Classify the graph of the equation as a circle, parabola, an ellipse, or a hyperbola. (a) 16x² -…

A:

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

A:

Q: What are the foci of the hyperbola with equation * x2 y2 36 64 (4,0), (-4,0) (0,3), (0,-3) (10,0),…

A: At first we have to contract the equation in standard form and then have to find the foci.

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4y 2…

A: Given equation is 4y2+9x2=12. To determine whether the equation defined an ellipse, a hyperbola,…

Q: The center of a hyperbola is (-3,2). The length of the conjugate axis is 8 units, and the length of…

A:

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all. (a)…

A:

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. −4x +…

A: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all.…

Q: Find the length of the hyperbola. (y-2)2/ 9 - (x+1)2/4 =1

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

A: solve the following

Q: Consider the equation of parabola y = 5x - 30x + 45. %3D Its vertex is located at (

A:

Q: B. Determine the standard form of equation of the hyperbola whose general form is given. 4. 4x — 3у…

A:

Q: Find the standard equation of the hyperbola that satisfies the conditions.

A:

Q: Find an equation of the ellipse that has center (-3, 0), a minor axis of length 4, and a vertex at…

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: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

A:

Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

A:

Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 6, and a vertex at…

A:

Q: 1. Draw the hyperbola with the equation: 3x^2-2y^2+6x-8y=6.

A: The standard form of hyperbola 3x2-2y2+6x-8y=6 is, x+1213-y+2212=1. Comparing above equation with…

Q: Find the standard form of the equation of the hyperbola.

A: Consider the provided graph,

Q: What is the equation of the hyperbola below in standard form if one of the endpoints of the…

A: Given the one endpoint of the conjugate axis is (-2,9). And here (-2,5) is the center of the…

Q: Find the standard equation of the parabola opening to the left whose axis contains the major axis of…

A:

Q: Write the equation of the hyperbola 25z – 16y + 150z + 64y- 239 = 0 in standard form %3D (2 - h) (y-…

A: Equation of hyperbola 25x2+ 150x-16y2+64y-239= 0 25( x2+6x)-16(y2-4y)= 239…

Q: I graphed 2x2 - 3y2 + 6y + 4 = 0 by using the procedure for writing the equation of a rotated conic…

A: The given equation is  2x2 - 3y2 + 6y + 4 = 0 . Note that there is no xy terms in the above…

Q: 1. Write the equation of the ellipse with endpoints of the major axis (-11, 0) and (11, 0) and minor…

A: Topic- Conic section

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

A: y2+4x+2y-15=0

Q: Find an equation of the ellipse that has center (-2, – 1), a minor axis of length 2, and a vertex at…

A:

Q: Which is the equation of a hyperbola with co-vertices at (0, 7) and (0, −7) and a transverse axis…

A: Ans (1) we have givenCo=Vertics of hyperbola (0,7) and (0,-7)⇒Compairing with co-vertice from (0, ±6…

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

A:

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

A: