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23-12-2021
Mathematics

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Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1

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24-12-2021

Answer:

(x -3)^2 +(y +2)^2 +z^2 = 13.25

Step-by-step explanation:

Divide by 4 and complete the squares.

x^2 -6x +y^2 +4y +z^2 = 1/4

(x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4

(x -3)^2 +(y +2)^2 +z^2 = 13.25

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