SOLUTION: I hope someone can help me with this problem. I keep getting different answers. The endpoints of segment FG have coordinates F(1/2a,-b)and G(a,1/4b). What is the expression for th

Question 138838: I hope someone can help me with this problem. I keep getting different answers.
The endpoints of segment FG have coordinates F(1/2a,-b)and G(a,1/4b). What is the expression for the length of the segment? I got 1/4sqrt4a^2-25b^2 or 1/4sqrt4a^2+9b^2 or 1/4sqrt4a^2+25b^2 or 1/4sqrt12a^2-17b^2 :( PLEASE HELP ME.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The endpoints of segment FG have coordinates F(1/2a,-b)and G(a,1/4b). What is the expression for the length of the segment?
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distance = sqrt[(change in x)^2 + (change in y)^2]
distance = sqrt[(a -(1/2)a)^2 + ((1/4)b + b)^2]
d = sqrt[(1/4)a^2 + (25/16)b^2]
d = sqrt[(1/16)[4a^2 + 25b^2]]
d = (1/4)sqrt[4a^2 + 25b^2]

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Cheers,
Stan H.
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