Find the centre and radius of the sphere determined by the equation (x- 2) + y² + =² = 9 In your answer: use, between centre and radius. Do not leave any space in your answer.

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

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

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Q: Find the center and the radius of the sphere x + y² += - 4x+ y-6z+13=0 Center: Radius:

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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 208 feet.…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 4) Radius:…

A: Given radius of circle is 9.  And center is (-1,-7,4).

Q: Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

A: Given the equation : 9x2-4y2+16z2-144=0 We know Equation of hyperboloid of one sheet:…

Q: The type of coordinate system that allows you to locate any point in space by using X, Y and Z…

A: The type of coordinate system that allows you to locate any point in Space by using X ,Y and Z…

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

A: topic - standard equation of sphere

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a…

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Q: How do you write an equation of a sphere with a given center and radius?

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

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

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

A: Topic - center and radius of sphere

Q: Find the center and radius of a sphere given by equation 3x +3y² +3z? =10+6y+12z.

A: We have to find

Q: Find the center and radius of the sphere with equation (x + 1)² + (y + 2)² + (z – 2)² = 4 Center:…

A: Explanation of the solution is given below...

Q: Find the standard equation of the sphere that has the points (5, −2, 3) and                  (0, 4,…

A: we know that equation of sphere which has end points of diameter as x1,y1,z1 and x2,y2,z2 is given…

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: Find the radius and center of the sphere described by 3x2 + 3y2 + 3z2 + 6x – 6y = 3.

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Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

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

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

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Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

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Q: What is the radius of the circle whose equation is x2 + y2 = 49? %3D

A: By using equation of circle, we calculate the radius of given equation.

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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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 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: What are the coordinates of the center and length of the radius of the circle whose equation is x² +…

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Q: 2 + (y– 6)² < 2

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-6, 8) Radius:…

A: Given center and radius

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 5) Radius:…

A:

Q: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

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

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Q: What is the center of the circle (x + 2)2 + y2 = 36?

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

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Q: Find the point on the surface fx,

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Q: Find an eguation of the sphere that passes through the point (5,-2,-1) whose whose Center is the…

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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: How is the distance between vertices for hyperbola equal to 2a?

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

A: Given that: Centre of the sphere, (h,k,g)= (-1, -3, 5) and radius, R=6

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

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: The point (6,-9, 7) is the center of the sphere represented by the equation x² + 12x + y² - 18y…

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Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

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

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Q: Write an equation for a sphere centered at the point (2,4,-5) with radius 5.

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 7) Radius:…

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Q: Describe the three-dimensional figure that is formed from rotating the isosceles right triangle…

A: We have to use properties of triangle to solve the problem when we rotate a triangle around any side…

Q: Find the value of x and y in the rhombus. yo 3x 2x x= 30 y 3=

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