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The length of the radius of the sphere ...

The length of the radius of the sphere
`x^(2)+y^(2)+z^(2)+2x-4y=10` is

A

3.16

B

3.38

C

3.46

D

3.87

Text Solution

Verified by Experts

The correct Answer is:
D

Complete the square in x and `y:(x^(2)+2x+1)+(y^(2)-4y+4)+z^(2)=10+1+4,` so `(x+1)^(2)+(y-2)^(2)+z^(2)=15`. Therefore, `r=sqrt(15)~~3.87`.
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ENGLISH SAT-MODEL TEST 2-MCQs
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  2. The graph of the equation y=x^(3)+5x+1

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  7. If f(x)=3-2x+x^(2), then ((f(x+t)-f(x))/(t))=

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  8. If f(x)=x^(3) and g(x)=x^(2)+1, which of the following is an odd funct...

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  10. The figure above shows a portion of the graph of y=2^(x). What is the ...

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  14. Which of the following statements is logically equivalent to: "If he s...

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  15. If f(x)=x-7 and g(x)=sqrt(x), what is the domain of g@f?

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  16. In triangleABC,a=1,b=4, and angleC=30^(@). The length of c is

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  17. The solution set of 3x+4ylt0 lies in which quadrants?

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  18. Which of the following could represent the inverse of the function gra...

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