For the sphere with equation (x - 1) + (y + 2) + (z + 4) = 36, find a) the center. b) the length of the radius.

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: The solid whose base is the triangle with vertices (0, 0), (2, 0), and (0, 2), and whose cross…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 7) Radius:…

A:

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 type of the quadric surface. + 22? = 1

A: Given, x32-y42+2z2=1 or x32-y42+2z2=1x32-y42+z122=1x232-y242+z2122=1

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

A:

Q: Find the standard equation of the sphere with the given characteristics. endpoints of a diameter:…

A: Equation of the sphere

Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given endpoints of diameter ::

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: Write the sphere equationil odi lo anoitaupo ontemeeg bas Totoov bnif (d) x2 + y? + z2 + 2x - 4y –…

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Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given that End points of diameter (2,9,13),(2,-7,-6)

Q: If you project a square onto a plane, what shape do you get?

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Q: Find an equation for the sphere centered at (1,-5, 4) with radius 4.

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Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Solution: The objective is to find the standard equation of the sphere

Q: A rod of given length (a+b) unit moves so that its ends are always on coordinates. Prove that the…

A: The two ends of the rod is always on coordinate axes. Let's take one end P of the rod is always on X…

Q: type of quadric surface is renresented by t n us Oupumb bn to udurR

A: The given quadratic equation is x2=4y2+9z2 .......................... (1)

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 the standard equation of the sphere with the given characteristics. endpoints of a diameter:…

A: Use standard equation of sphere

Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(-1,…

A: Equation of sphere  standard form of sphere equation

Q: Find the standard equation of the sphere with the given characteristics. endpoints of a diameter:…

A: To find the standard equation of sphere.

Q: Q2: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: We are asked to draw the isometric view of the solid.

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

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

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, -6, 5) Radius:…

A:

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

A: topic - equation of a sphere

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

A: Explanation of the answer is as follows

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

A:

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

A:

Q: Find the standard equation of the sphere with the given characteristics - Center: (3, −2, 6);…

A: We have to find the standard equation of the sphere where, center is given as 3, -2, 6 and radius is…

Q: Does every second-degree equation in x, y, and z represent a quadric surface? Explain.

A: the equation of a quadric surface in space is a second degree equation in three variables. The…

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5), and…

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Q: Find equations for the sphere whose centers and radii are given in center(1,2,3) radius sqrt(14)

A: To determine the equation of a sphere.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 3) Radius:…

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

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 5) Radius:…

A:

Q: Find the standard form of the equation of the sphere with the given characteristics. Endpoints of a…

A: The standard form of the equation of sphere is given by Where ( x0, y0, z0) is the center and r is…

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

A: Let's find.

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

A:

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 sorts of quadrilaterals will tessellate the plane?

A: Tessellate is that shape of the plane that is covered with no holes and no overlapping.

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

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Q: The equation of the sphere with Center (4,-1,3) and radius √5 is

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Q: what is the equation of the geodesic in the hyperbdic upper half-plane that joins -1+i with Iti

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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: Find the standard equation of the sphere with the given characteristics Endpoints of a diameter: (0,…

A: Given: Endpoints of a diameter of sphere: a1, b1, c1 ≡(0, 0, 4) and a2, b2, c2 ≡(4, 6, 0)

Q: Find the standard equation of the sphere with the given characteristics. Center: (−1, −5, 8);…

A: The Center of the sphere is (−1, −5, 8) and Radius: 5

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

A: Distance between two points A(x1, y1, z1) and B(x2, y2, z2) is AB = x2-x12 + y2-y12 + z2-z12   The…