Complete the square and write the following equation in standard form. When completed, graph the conic shape and mark key points and/or lines. x² +y² + 12x – 6y – 4 = 0

Q: Write the equation of the hyperbola 25x? – 9y? + 100x + 72y – 269 = 0 in standard form (z – h)? (y –…

A:

Q: Find the foci, vertices and center of the ellipse x2 + 2Y? + 2X - 8Y + 1 = 0

A: Given: x2+2y2+2x-8y+1=0 for finding foci, vertices and center of the ellipse, first we convert given…

Q: Write the equation of the ellipse 16x² + 36y² + 128x – 360y + 580 = 0 in standard form - (æ – h)? (y…

A: We can calculate this by method of algebraic equation

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

A: Given equation, 9x2-6x-36y+37=0

Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

A:

Q: If possible, write each of the following quadratic equations in the form of a conic in standard…

A: Write each of the following quadratic equations in the form of a conic in standard position and…

Q: Graph the ellipse by finding the center, vertices, co-vertices, and foci: 6. 9x2 + 16y? - 36x -…

A: Here, the given equation is:…

Q: Rewrite the equation of the ellipse 9x2 + 4y? + 36x – 24y + 36 = 0 in standard form and identify the

A: The standard equation of an ellipse with the center at (h,k), and the major and the minor axes being…

Q: Write the equation of the ellipse 16x? + 9y? + 160x – 90y + 481 = 0 in standard form %3D (æ – h)? (y…

A:

Q: Determine the equation of the hyperbola, h(x).

A: Equation of hyperbola: The equation of hyperbola center at (h, k) and semi-axis a=b=2A is given by,…

Q: Find the possible values of the real number b so that a dA = 18. where D is the ellipse (x – 1)2 (y…

A:

Q: (x-3)² 1) 6-4)² =D1 16 196 (x+ 1)² ¸ (y – 8)² 3) 9. =D1 %3D 81

A:

Q: Convert the equation 4x2 + 9y2 - 32x + 36y + 64 = 0 to standard form by completing the square on x…

A:

Q: Convert the equation: 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: Given: 4 x2+y2-24x+6y+9=0 To determine: Standard form of equation & graph of ellipse &…

Q: Find the center, foci,and vertical of the ellipse. x^2/49+y^2/16=1

A:

Q: Write the equation of the ellipse 9x2 + 25y² – 54x – 50y – 119 = 0 in standard form (x – h)² (y –…

A:

Q: Convert the equation 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: 4x2+y2-24x+6y+9=0

Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4),…

A:

Q: Write the following equation in standard form. When completed, graph the conic shape and mark key…

A: 4(x-3)2+25(y+1)2=100 dividing both sides by…

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

A: Hi, thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

A:

Q: Write the equation in standard form by completing the square, and identify the conic section it…

A:

Q: Find the foci and vertices of the ellipse. x^2/36+y^2/9=1

A:

Q: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

A: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

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

A:

Q: Convert the equation 4x2 + 25y2 - 24x + 100y + 36 = 0 to standard form by completing the square on x…

A: Given: 4x2+25y2-24x+100y+36=0 for converting given expression in standard form, we simplify it so,…

Q: Write the equation of the ellipse 9x² + 16y² + 18x − 96y + 9 = 0 in standard form - (x - h)² (y-k)²…

A:

Q: Convert the equation 49x2 + 16y2 + 98x - 64y - 671 = 0 to standard form by completing the square on…

A: Given equation is 49x2+6y2+98x-64y-671=0 To convert the given equation into standard from by…

Q: . Identify the type of equation: 5x? + 5y - 10x + 15y = 10 %3D O circle O parabola hyperbola ellipse

A: The objective of the question identify the type of equation.

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

A:

Q: Write the equation into the standard for -4.x? + y? – 16x – 2y – 19 = 0. Locate hyperbola

A:

Q: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

A: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

Q: Write the equation of the ellipse 36x2 + 16y² – 216x + 160y + 148 = 0 in standard form %3D (x – h)?…

A: 36x2+16y2-216x+160y+148=036x2-216x+16y2+160y=-14836(x2-6x)+16(y2+10y)=-14836(x2-6x+9)+16(y2+10y+25)=…

Q: Write the equation of the ellipse 36æ² + 4y? + 72x + 32y – 44 = 0 in standard form (x – h)? p2 (y –…

A:

Q: Identify the center, the vertices, and the foci of the ellipse. x2 (v +5)? _ =1 32 8

A:

Q: Write the equation of the ellipse 16x? + 9y? – 64x + 90y + 145 = 0 in standard form (æ – h)? (y –…

A: We can make it easier for you

Q: Write the equation of the following hyperbola in standard form. 4x? – 8x – 9y? – 54y – 113 = 0 -…

A: We can make it easier for you

Q: Find the standard form of equation of an ellipse and determine the center, major axis, a and b. 1.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A:

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

A:

Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…

Q: C. 3x2 - 4x + 2y + 4 0

A:

Q: Write the equation of the ellipse 9a²+ 16y² – 90x – 32y + 97 = 0 in standard form a2 (x – h)? (y –…

A:

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

A: x2+16=4y2+2x On simplification, we get x2+16=4y2+8x⇒x2-8x+16-4y2=0⇒x-42-4y2=0⇒x-424-y-021=0

Q: Write the equation of the following hyperbola in standard form. 16x? – 96x – 4y? + 16y + 64 = 0…

A: It is equation of hyperbola.

Q: Write the equation of the ellipse 9x? + 25y? + 90x + 200y + 400 = 0 in standard form (x – h)? (y –…

A: See the details solution in below

Q: Calculate y′′ for the parabola equation y2=4x.

A:

Q: Write the equation of the ellipse 25x² + 16y² – 200x + 160y + 400 = 0 in standard form (x – h), (y –…

A: Given ellipse equation is 25x2+16y2-200x+160y+400=0 Rearrange the terms and write the equation…

Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0