SOLUTION: On a number line, point B is two-thirds the distance from point A to point C and is located at -5. If A is at -11, what is the greatest possible coordinate of point C?
A)-20
B)-2
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Question 785486: On a number line, point B is two-thirds the distance from point A to point C and is located at -5. If A is at -11, what is the greatest possible coordinate of point C?
A)-20
B)-2
C)-1
D)4
Please explain with steps I'm new to geometry and its hard!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
On a number line, point B is two-thirds the distance from point A to point C and is located at -5. If A is at -11, what is the greatest possible coordinate of point C?
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Draw the picture:::
A.............B......C
-11...........-5.....?
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From -11 to -5 is |-11--5| = |-11+5| = |-6| = 6 units
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Equation:
(2/3)(A to C) = 6
A to C = (3/2)6
A to C = 9 units
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The coordinate of C is -2
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Cheers,
Stan H.
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A)-20
B)-2
C)-1
D)4
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