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damaskus [11]
3 years ago
12

Answer correct you get brainliest answer.​

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

part c

Step-by-step explanation:

because i have done it before

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We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
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we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units




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