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The distance between the centers of the following two spheres: x²+58 x+y²+12y+z²=-876, 2x²-4x+2y²+2z²+8z=-5

User Kolypto
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1 Answer

1 vote

Final answer:

The question aims to calculate the distance between the centers of two spheres, which typically involves bringing the equations of the spheres to standard form and applying the distance formula. Due to apparent errors in the provided equations, the calculation cannot be carried out with the given details.

Step-by-step explanation:

The student's question seeks to find the distance between the centers of two spheres. The equations of spheres are given and need to be put in standard form to find their centers and subsequently calculate the distance between them. However, the provided information and numbers do not correspond directly to the question, thus it appears there may be a typo or error in the question details. As a result, we cannot accurately calculate the distance without the correct sphere equations. In a typical scenario, we would complete the square for the equations of the spheres to find their centers, then apply the distance formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2), where (x1, y1, z1) and (x2, y2, z2) are the centers of the first and second spheres respectively.

User James Coote
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