SOLUTION: The following are coordinates of points in the xy-plane. Which of these points is nearest the origin? a (0,-1) b (0,1/2 ) c (1/2, -1/2) d (1/2,1/2) e (-1,-1)

Question 341618: The following are coordinates of points in the xy-plane. Which of these points is nearest the origin?
a (0,-1) b (0,1/2 ) c (1/2, -1/2) d (1/2,1/2) e (-1,-1)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The following are coordinates of points in the xy-plane. Which of these points is nearest the origin?
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The distance (x,y) is from (0,0) is d = sqrt(x^2+y^2)
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a (0,-1)::::::::d = 1
b (0,1/2 )::::::d = sqrt(1/4) = 1/2
c (1/2, -1/2):::d = sqrt(1/4 + 1/4) = sqrt(1/2) = (1/2)sqrt(2)= 0.7071
d (1/2,1/2):::::d = sqrt(1/4 + 1/4) = sqrt(1/2) = (1/2)sqrt(2)
e (-1,-1):::::::d = sqrt(1 + 1) = sqrt(2)
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Cheers,
Stan H.

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