Find an equation of the sphere that passes through the point (1, 8, 5) and has center (3, 1, −3).

Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

A: The given equation of sphere is: x2+y2+z2-2x+10z+5=0

Q: Find an equation of the sphere that passes through the origin and whose center is (3, 1, 4).

A:

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: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

A: Given:Center : (-1,-2,9)Radius: 7We will find the equation of the sphere

Q: Determine the center-radius Form of the equation of the sphere who diameter has endpoints at (2, -3,…

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

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –-2, 4)…

A: NOTE: Refresh your page if you can't see any equations. . the center is  and the radius is

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 the standard equation of the sphere with the given characteristics. Center: (-1, -5, 3) Radius:…

A:

Q: Find the equation of a sphere if one of its diameters has endpoints (5, 4, 3) and (1, 6, -9)

A: Consider the endpoints of the diameter: (5, 4, 3) and (1, 6, -9) To calculate the diameter of the…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -4, 5) Radius:…

A: topic - standard equation of sphere

Q: Find an equation of the sphere that passes through the point (6, –2, 3) and has center (-1, 2, 1).

A:

Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 5) Radius:…

A: We are given: Centre: (-1, -3, 5)Radius: 7 We need to find the standard equation for the sphere with…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -4, 4) Radius:…

A:

Q: Find the center and radius of the spherex2+y2+z2−6x−16y+ 20z=−92.

A: Topic - center and radius of sphere

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: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).

A: I have appended the formula used in the solution part.

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: Find an equation of the sphere with center (1, –11, 8) and radius 10.

A: Center of sphere=1,-11,8radius of sphere , r=10Sphere has 3-dimensions ,hence equation of sphere…

Q: Find the center and the radius of the sphere. x2+y2+z2-3x-6z=0

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

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 7) Radius:…

A: Given the centre and radius and we have to find the standard equation of sphere

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 8) Radius:…

A:

Q: Find the center and radius of the sphere with equation (x + 2)2 + (y - 3)2 + (z + 6)² = 16 Center:…

A:

Q: Find an equation of the sphere with center (-2, 4,7) and radius 4/3

A: Given center -2,4,7 and radius =43find the equation of the sphere.Equation of sphere…

Q: Find the equation of the sphere which passes through the origin and the points (0, 1. -1), (-1,2, 0)…

A: Use the genres equation of sphere passing through origin.

Q: Find an equation for the sphere with a) center at the origin and radius length r = b) center (2, –…

A: Let the coordinates of centre of sphere be a, b, c and radius be r.

Q: Find an equation of the sphere with center What is the intersection of this sphere with

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Q: Determine the center-radius Form of the equation of the sphere whose diameter has endpoints at (2,…

A: The first question has been solved as per the request of the student.     The center radius form of…

Q: Find the equations for the spheres whose center is (7, -1, 5) and radius is 2.

A: To find: The equation of sphere whose centre and radius given. Given: The centre of sphere is 7,-1,5…

Q: Find an equation of a sphere if one of its diameters has endpoints (7,9, 9) and (3, 5, 7).

A: Given end points of diameterA=7,9,9 & B3,5,7

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 5) Radius:…

A: topic - equation of a sphere

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

A:

Q: Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7).

A: The endpoints of the sphere we have, (7,9,9) and (3,5,7)

Q: Find the equation of the sphere

A:

Q: Find the center and radius of the sphere (3x^2)+(3y^2)+(3z^2)-(6y)-(12z)-10=0

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

A:

Q: Find an equation of the sphere that passes through the point (8, 1, -5) and has center (5, 6, 3).

A: The objective of the question is determine the question of sphere .

Q: Write the equation of the sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 4) Radius:…

A:

Q: Find an equation of the sphere that passes through the point (7, 5, -3) and has center (5, 8, 1).

A:

Q: Determine the equation for the sphere whose center and radius are given. Center Radius V13 (1,3,1)

A: Let center h,k,l=1,3,1 and radius r. Equation of the sphere with center h,k,l and radius r is given…

Q: 6. Find an equation of the sphere that passes through the origin and whose center is (3, 1, 3).

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -8, 8) Radius:…

A: Let's find.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 4) Radius:…

A: Equation of sphere

Q: Write the equation of a circle passing through the vertices of the hyperbola 4x2-9y2=36 and having a…

A:

Q: Find an equation for the sphere that has the points (8,2, –1) and (-4,–4,3) as endpoints on a…

A: Given points,

Q: Find the standard equation of the sphere with center (-2, 5, -3), and radius 5.

A:

Q: Derive the equation of a hyperplane.

A: