Find the solution set in parametric form of the following system: I + 211 + -211 I3 + 214 %3D

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

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Q: Find the center, vertices, foci, and sketch from x -4y2 +6x +16y -11 = 0.

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Q: Find the equation of the parabola by using three points (4,0), (2,8), and (6,0). Step 1. Write the…

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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: 7. x2 +y? +14x- 12y + 4 0 %3D Center : (_and radius:

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

Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: find the equation for the parabolic cooker.

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Q: Identify the center, the vertices, and the foci of the ellipse. 4x²+y²–16x – 6y +21=0 口 | Center :…

A: Given ellipse equation is 4x2+y2-16x-6y+21=0We can now get it to the standard form i.e.…

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

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Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: Identify the center vertices, co-vertices, and foci of x2+9y2+6x-90y+225=0

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Q: Classify the following equations as elliptic, parabolic or hyperbolic: а) и, — 4uxx = 0. - b) и, —…

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

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

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

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Q: Write the equation of the sphere in standard form. 9x? + 9y? + 9z2 = 36x – 12y – 24

A: The givne equation of the sphere is 9x2+9y2+9z2=36x-12y-24

Q: Write the stabdard form equation of each hyperbola. Vertices (-5,0) and (5,0) foci (-7,0) and (7,0)

A: Given that vertices ±a,0=±5,0 and foci ±c,0=±7,0 where center is (h, k).

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

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Q: Find the vertex, force, and directrix of the parabola x^2=7y

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Q: Find the perimeter of the ellipse x2/a2 +y2/b2 = 1, where a > b > 0.

A: The perimeter of Ellipse with Radii a and b is given by: In our question the radii is a and b Hence…

Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0…

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: Analyze each conic.

A: Given : The equation is x-324  -y225 = 1 .

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

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Q: Complete the square to find the center and radius: x^2+y^^2+8x+8y=0

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Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

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

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Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. a2 -…

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Q: Write the equation of the ellipse 25x + Yy² + 50x + 72y - 56 O In standard fo (x- h)? (y – k)? = 1.…

A: h=-2, k=-4, a=75, b=45

Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

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

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Q: The towers of a 60 meter parabolic suspension bridge are 15 m high  and the lowest point of the…

A: Topic name-  use of parabolic formulas  in practical design

Q: Write the equation of the ellipse 25x² + 9y – 250x + 36y + 436 = 0 in standard form (x – h)? (y –…

A: We use completing the square method.

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: 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: Find the equation of the sphere

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Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

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Q: If A = 40ej120°. B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

A: Here i=√-1. Sometimes j is used instead of i.

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: What are the solutions to the system of conics? *- = 1 x2 4 2 y? = 8 (x + 1) Drag the ordered pairs…

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Q: 1) Be the equation:      4x^2 − 24x y + 11y^2 + 56x − 58y + 95 = 0. 1a) Determine the nature of…

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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: Which conic section is represented by the equation 2x2 + 4x - y+9= 0?

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Q: Find the centre and radius of the sphere determined by the equation x' +y° +(z - 2) = 16 %3D

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Q: Find an equation of the sphere that passes through the origin and whose center is (-6, – 3, – 2). O…

A: We know that,  General equation of sphere is given by, (x-a)²+(y-b)²+(z-c)²= R² where, R is the…

Q: Complete the square and write the following equation in standard form. When completed, graph the…

A: This question is taken from the Circle which we have to find the center point radius and then plot…

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 21 B 21…

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Q: The signal received by a parabolic antenna is concentrated in its receiver, which is placed,…

A: For the Paraboloid,z-axis is it's Principal Axis,Also, it is symmetric with the lines x = 0 (yz…

Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…