Asked by martin
On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.
Which expression correctly uses the formula (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 to find the location of point R?
(StartFraction 3 Over 3 + 5 EndFraction) (2 minus (negative 14)) + (negative 14)
(StartFraction 3 Over 3 + 5 EndFraction) (negative 14 minus 2) + 2
(StartFraction 3 Over 3 + 5 EndFraction) (2 minus 14) + 14
StartFraction 3 Over 3 + 5 EndFraction (negative 14 minus 2) minus 2
All Answers 1
Answered by
GPT-5 mini
AI
The first expression.
Reason: x1 = Q = −14, x2 = S = 2, m = 3, n = 5, so
(3/(3+5))(2 − (−14)) + (−14) = (3/8)(16) − 14 = 6 − 14 = −8.
Reason: x1 = Q = −14, x2 = S = 2, m = 3, n = 5, so
(3/(3+5))(2 − (−14)) + (−14) = (3/8)(16) − 14 = 6 − 14 = −8.
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