Solve the following systems of conics, graphically and algebraically:  4x2-y2-8x+6y-9=0 2x2-3y2+4x+18y-43=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: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section x2 -…

A: Explanation: Given that: x2-y2-2x+4y=4     Concept Used: The standard form of a hyperbola:…

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

A: Conic section

Q: 4x^2-3y^2-8x+12y+4=0

A: Given the equation of a conic, we have to identify the conic

Q: Identify and sketch the graph of the conic section.y2 + 8x + 6y + 25 = 0

A:

Q: Identify and sketch the graph of the conic section.x2 + 4x + 6y − 2 = 0

A:

Q: Write the solution set of the following homogenous systems in parametric form? メ*34+ - 3x -6%=0

A: A system of homogenous equations can be expressed as a matrix equation of the form AX=0 where A is…

Q: Here is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its focus…

A: Given y2-28x+16y-76=0

Q: The system of conics has two solutions. (z – 4) + (y+1)* = 9 (9+1) 1. +- 81 What are the solutions…

A:

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

A:

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + 4y2 – 6x…

A:

Q: Solve the components of the given equation of conic sections and sketch the graph а. х — -y2 +1 b.…

A:

Q: 12. 9x²-16y -90x+64y+17 = 0 | 2. 250-

A:

Q: Identify the graph of the given nondegenerate conic sections: y2 - 12x - 4y + 52 = 0

A: A nondegenerate conic section of the form         Ax2+Cy2+Dx+Ey+F=0 a)If A=C then circle b)If AC=0…

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section......…

A: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section.…

Q: -6 4 -2 19 6 4 2 2 6

A: The standard form of the equation of a hyperbola with center (h,k)(h,k) and transverse axis parallel…

Q: Determine the distance between the foci of the following conic section: 16x2 + 9y- 64x 54y+1 = 0

A:

Q: Identify the conic represented by the equation x2 + 16y2 - 160y + 384=0 without completing the…

A: we know that equation ax2+by2+2gx+2fy+2hxy+c=0 will represent  ellipse, if h2<ab,…

Q: The system of conics has two solutions. (z – 4)° + (y + 1)* – 9 (v+1) 6. +. 81 -1 What are the…

A:

Q: Identify and sketch the graph of the conic section.9x2 − y2 + 54x + 10y + 55 = 0

A: On simplification, we get Now it is in the form of,

Q: Determine which of the conic sections is represented by 4x² + 14xy + 5y² + 18x − 6y +30 = 0

A:

Q: ____ is the distance between the center and the vertices of the conic section whose equation is 9x^2…

A:

Q: Identify and sketch the graph of the conic section.y2 − 4x − 4 = 0

A: We have given the equation; y2 − 4x − 4 = 0 Which can be rewritten as; y2 =4x + 4  (y-0)2 =4(x +1)

Q: 1) Identify the conic sections and graph: a) (x-5)^2/100-(y+3)^2/64=1 b) (x+7)^2/5^2+(y+3)^2/3^2=1

A: On comparing with the standard form x-h2a2+y-k2b2=1 The given equation is a ellipse with center (h,…

Q: Identify and sketch the graph of the conic section.4y2 + 4x2 − 24x + 35 = 0

A: This is a equation of a circle. Convert it into the standard form. Divide the equation by 4 to get…

Q: Write the solution set of the following homogenous systems in parametric form? X,+38-58=4 2、+,-8×こフ…

A:

Q: Identify and sketch the graph of the conic section.4x2 + y2 + 32x + 4y + 63 = 0

A: Now it is in the form of

Q: Graph the hyperbola. 25x²-16y² +200x-64y-64=0 12+ € -14 -12 -10 -8 -6 # 10- 8- 6- 16 8 10 12 14 x XO…

A:

Q: Identify and sketch the graph of the conic section.x2 + 4y2 + 4x + 32y + 64 = 0

A: The given graph is,…

Q: The system of conics has two solutions. (a- 1) + (y + 4)² = 25 (7-1)2 (y+4)² = 1 100 25 What are the…

A: Solve the given

Q: -8 -6 -4 19 4 2 19 ∞

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

Q: (x-10)² (y-2)² + 144 36

A: Given query is to find the general conic form.

Q: Identify the graph of the nondegenerate conic sections: 9x2 + 25y2 - 54x + 50y - 119 = 0.

A: First we need to identify that the equation represents which conic section:   We have:…

Q: Identify this conic, list the necessary parts and then graph it: 2x2 +2y2 +8x=7

A: Given the equation of conic

Q: -8 -6 -4 -2 8 19 41 2 2 4 19 2 4 6

A: Given Graph:-

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + y2 – 10x…

A: Given

Q: find the key values for a conic a. y^2 - 8x - 4y + 4 = 0   b. 6x^2 - 4y^2 -12x-8y-22=0   c. x^2…

A: a y2-8x-4y+4=0y2-4y+4-8x=0y-22=8xwhere y=y-2 , a=2which is the general form of a parabolavertex…

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: Identify and sketch the graph of the conic section.4x2 − y2 + 8x − 6y + 4 = 0

A: Given: 4x2-y2+8x-6y+4=0 for drawing graph of given curve first we convert given expression in…

Q: Identify the graph of each of the following nondegenerate conic sections: a. 3x2 + 2y2 + 12x - 4y +…

A: Explanation:-  A nondegenerate conic section of the form  Ax2 + Cy2+ Dx+ Ey+ F = 0  in which A and C…

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: Identify and sketch the graph of the conic section.2x2 − y2 + 4x + 10y − 22 = 0

A: Given: 2x2-y2+4x+10y-22=0 for drawing graph of given expression first we convert in standard…

Q: Which of the following equations yields to a non - degenerate conic? A 3x2 + 3y² - 12x+ 12y-6=0 9x2…

A:

Q: snip

A: x2+2y2-6x+8y+9=0

Q: Which of the following parabolas opens left with a vertex of (3, 2)? Oy = 2(x + 3)² + 2 Ox = -2(y -…

A:

Q: 5. Write the following equations in standard form and identify the corresponding conics a) x² – 4x +…

A: The given equations can be converted into standard forms by the method of completing square of x and…

Q: The vertices of hyperbola: 9z? – 4y² = 36, will be Select one: O (0, ±3) O (12,0) O (+3,0) O (0, ±2)

A:

Q: 3 -6 -4 -2 8 19 41 2 2 41 19 ① 2 4 6

A: We have to solve the conic