What are the solutions to the system of conics? *- = 1 x2 4 2 y? = 8 (x + 1) Drag the ordered pairs into the box to correctly complete the table. Solutions to the system of conics

Q: Find an equation of the plane that passes through the points (4, 4, 3), (5, 3,-5), and (-5, 4, 2).…

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Q: Imagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given only a few of…

A: Given problem:- Imagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given…

Q: Solve for the distance from the point (-5, 4, 5) to the plane −x+4y−5z=4.

A: Given Plane: -x+4y-5z=4 and Point: (-5,4,5)

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x, y) =…

A: We have to find the point which is farthest away from the point 1,0 at the ellipse: 4x2+y2=4 Writing…

Q: Find an equation of the plane that passes through the point (3, 1, 4) and contains the line of…

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Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: We need to find the equation of the plane that passes through the points - (-2,1,1) , (0,6,11), and…

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 4, 7), and (1,0, –1).…

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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: Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3).…

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)V

A: Consider the given information. y−k2a2−x−h2b2=1 Since we have the given foci at F1(0,0) and F2(0,4).…

Q: Find the equation of a plane through the points (– 8, 2, – 1), ( – 4, – 1, 8), ( – 8, 6, – 6). -

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Q: Find an equation of the plane passing through the points.(−4, −4, −4), (4, −1, −4), (−4, −1, −4)

A: Here given as

Q: Find the equation of a plane through the points (- 3, 2, 6), (– 8, 5, - 8), (4, – 4, – 1).

A: Given: Three points -3,2,6, -8,5,-8, 4,-4,-1

Q: Find an equation of the plane that passes through the points (1,5, 2), (3, 4, –2), and (-–5, 5, 1).…

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Q: Identify the solution and extraneous solution, if it exists, of =. %3D Solution: Extraneous…

A: Given problem:- Identify the solution and extraneous solution, if it exists of x/(4-x) =2/(x-4)

Q: what is the most important thing you learn about conics?

A: There are several things we have heard/read in school or somewhere else. These things can be…

Q: I couldn’t find the Y value. Number 11

A: Given system of non-linear equations are:To solve the system using elimination, the equations are…

Q: Find the equation of the plane through the points (0, 1, 1), (1, 0, 1), (1, 1, 0) Thank you.

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Q: Find an equation of the conic described;graph the equation.

A: The graph of Ax2+Cy2+Dx+Ey+F=0 is one of the following.a. Circle: A=Cb. Parabola: AC=0, A=0 or C=0…

Q: Which graph shows the intersection curve, in the first octant, between a cylinder of equation: (x −…

A: In this question, we need to find the curve which describes the intersection of the surfaces.…

Q: 2. Find the equation of the plane through the points (1, -3,2), (3,0,– 1), and (0,5,5).

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Q: Solve conic equation

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Q: Find an equation for the plane through the points (5,4,5),(−2,0,−1),(0,1,2).

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Q: Find the peremiter of the trapezoid with these vertices (-2,-2),(-5,-2),(6,-5),(-5,-5)

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Q: Exercises 74-76 will help you prepare for the material covered in the next section. 74. If x = 3, y…

A: Hello. Since your question has multiple parts, we will solve the first parts for you. If you want…

Q: 6. parallel to y%3D through (-3, 6)

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Q: Classify the conic section of each equation.  Explain how you made your decision. 13. 4x2 + 3x = y2…

A: Topic = Conic section   The equation of every conic can be written in the following form:   Ax2 +…

Q: Find the equation of the plane that passes through (2, 1, 1), (1, 4, 1) and (-2, 0, 4). Put the…

A: Given, The points 2,1,1, 1,4,1 and -2,0,4  We have to find the equation of the plane passing through…

Q: Find an equation of the plane that passes through the points (4, 3, 3), (2, 2, –2), and (-5, 3, 2).…

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Q: A line pases through the point (-2,1) and is paralle to the line 2x+y=1

A: Solve using the concept of parallel lines

Q: . Find an equation of a plane passing through the point (3, 4. 0) and containing the line of…

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Q: Find an equation for the plane through А (0, 0, 1), B (2, 0, 0), and С (), 3, 0).

A: The equation of a plane passing through three points Ax1, y1, z1, Bx2, y2, z2 and Cx3, y3, z3 is…

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

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Q: There is one point of intersection in the graphs of the conic (z + 1)² + (y + 2)² = 16 (y+ 2)° = 4…

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Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

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Q: 4) Vertices: (14, 2). (–8, 2) Foci: (3 + 4V7, 2), (3 – 4V7, 2)

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Q: Find an equation of the plane through the three points (3, 4, -1), (7, –2,0), and (-3,1, 2).

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

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Q: Find an equation for the plane through the points (4, 2, 2), (1, 2,0), (-1,0,2).

A: given 3 points are x1, y1, z1=4,2,2 x2, y2, z2=(-1,0,2) x3, y3, z3=(-1,0,2)

Q: 1. Create 2 situational problems on conics (i.e. 1 on circle and 1 on parabola or 1 on ellipse or 1…

A: 1. Question 1: Calculate the area of the circle x2+y2=4 and verify that the area of a circle is πr2,…

Q: 8. Consider the parabola whose equation is y=x² -4x and the line whose equation is y=2x+b, where b…

A: y=x2-4x  &  y=2x+b Put y=2x+b in y=x2-4x, we get ⇒2x+b=x2-4x⇒x2-4x-2x-b=0⇒x2-6x-b=0 To intersect…

Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

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Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

Q: Two large airship hangars were built in Orly, France, in the early 1900s but were destroyed in World…

A: (a). It is given that, the length of hangars is 175 m, the width of the hangers is 90 m and the…

Q: Find an equation of the plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1) . Show all…

A: Given plane passing through given three points

Q: Find an equation of the plane through (0,5,0), (1,3, –2), and (-3, 4, 2).

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Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters.…

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Q: A rectangle is to be inscribed in the ellipse described by x? + = 1. What should the dimensions of…

A: Given,  The equation of the ellipse x2 + y29 = 1  We have to find the dimension of rectangle with…