Find an equation of the sphere with center (-2,5,1) and a radius 5. Note that you must move everything to the left hand side of the equations and that we desire the coefficients of the quadratic terms to be 1. Answer should be in ________=0 format. Thank you for your help.

Q: Show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

A: To show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

Q: Find the center and radius of a sphere with the equation: 8x + 4z = 1 − 2x^2 + 20y − 2y^2 − 2z^2.

A: Given the equation of the sphere 8x+4z=1-2x2+20y-2y2-2z2

Q: 5. Show that the equation represents a sphere, and find its center and radius: x²+y? + z2 – 8x – 10y…

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Q: Find the equation of the hyperbola with center (o, o), a vertex at (5, o) and an extremity at (o,…

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Q: the center-radius of 9x?ー16x+9+9y?t12u=12 the equation Can be obtained by adding both sides of the…

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Q: 40 80 100 120 20

A: Find a quadratic equation to fit the photo of positive parabola.

Q: An arch in the form of a semi-ellipse is 50 feet wide at the base and has the height of 16 feet.…

A: Solve for the

Q: nd an equation of a sphere if one of its diameters has endpoints (54.

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Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

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Q: Find an equation for the indicated half of the parabola.Left half of (x + 3)2 = y + 2

A: We have the given equation of parabola   the equation is (x + 3)2 = y + 2   we have to find the…

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

Q: Find an equation of the sphere that passes through the origin and whose center is (9,8,-9). = 0 Note…

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Q: Find an equation for the parabola that has a horizontal axis and passes through the given…

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

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Q: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

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Q: Write the standard equation of parabola in a General Form Show the solution. 1. x² = 2 ( y + 4 )

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Ay 3-

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Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given:To Find the standard equation of a parabola that has a vertical axis and lineformula of…

Q: Find an equation of a sphere if one of its diameters has endpoints (5, 0, 6) and (7, 4, 8).

A: Solution of the problem as follows

Q: Which of the following equations represent the parabola? (Select all). 8 6 8 1. 2.

A: Given data: The given graph of the parabola. The value of y is 0 at x= -6, 2. (a) Substitute -6 for…

Q: Find the equation of the parabola y=ax+bx + C that passes through the points (2, 20), (-5, 6), and…

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Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

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Q: a) [. Show that the equation 6x + 6y6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 5. Show that the equation represents a sphere, and find its center and radius:…

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Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

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Q: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: Your dog is hyper and needs to go for a walk around the block. If your block is rectangular and the…

A: Solution ) walk around the rectangular block = perimeter of rectangle perimeter of rectangle = 2 ( a…

Q: | 42² - ² = 4

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Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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Q: a) [ Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its…

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Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: A sphere has a diameter whose endpoints are Pi₁(3, 2, 1) and P₂(-1,-4,-4). Find the equation of the…

A: We will solve the problem

Q: Find the standard equation of any parabola that has vertex V.

A: V-2,0

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: A concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long and the…

A: Given that, a concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long…

Q: Show that the equation represents a sphere, and find its center and radius. Please show all of your…

A: The general equation of a sphere is,

Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: A pool is built in the shape of an ellipse, centered at the origin. The maximum vertical length is…

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Q: Find all the values of b such that the parabola y=(1)/(8)x^(2)-bx+(9)/(2) will have a directrix…

A: the given equation of the parabola is y=18x2-bx+92. we have to find all the values of b so that the…

Q: Find an equation for the parabola that has a vertical axis and passes through the given points.P(2,…

A: Parabola that has a vertical axis passes through the points P2, 5,  Q-2, -3  &  R1, 6. The…

Q: The vertex of the parabola given by the equation x2 = 20 y is (0,0) O (4,5) O (0,5) (4,0)

A: Kindly post other question as separate one.

Q: a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.