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(Solved): Write the equation of the sphere in standard form. \[ x^{2}+y^{2}+z^{2}+10 x-4 y+4 z+24=0 \] Find i ...
![Write the equation of the sphere in standard form.
\[
x^{2}+y^{2}+z^{2}+10 x-4 y+4 z+24=0
\]
Find its center and radius.
cent](https://media.cheggcdn.com/study/b10/b10b00ff-faeb-4801-8520-8b7185811306/image)
Write the equation of the sphere in standard form. \[ x^{2}+y^{2}+z^{2}+10 x-4 y+4 z+24=0 \] Find its center and radius. center \( (x, y, z)= \) radius
Find an equation of the set of all points equidistant from the points \( A(-2,5,3) \) and \( B(5,2,-3) \). Describe the set. a sphere with diameter \( A B \) a plane perpendicular to \( A B \) a cube with diagonal \( A B \) a line perpendicular to \( A B \)
Expert Answer
Part 1. x^2 + y^2 + z^2 + 10x - 4y + 4z + 24 = 0 x^2 + 10x + y^2 - 4y + z^2 + 4z + 29 = 0 x^2 + 10x + 25 - 25 + y^2 - 4y + 4 - 4 + z^2 + 4z + 4 - 4 + 24 = 0 (x + 5)^2 + (y - 2)^2 + (z + 2)^2 - 9 = 0 Standard form: (x + 5)^2 + (y - 2)^2