# math

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given R(-6,19) and S (14,-6), what are the coordinates of the oints on the segment RS two-fifths of the distance from R to S

• math -

(-6 , 19), P(X , Y), (14 , -6).

X - (-6)) = 2/5(14 - (-6)),
X + 6 = 2/5(14 + 6),
X + 6 = 2/5(20),
X + 6 = 8,
X = 8 - 6 = 2.

Y - 19 = 2/5(-6 - 19),
Y - 19 = 2/5(-25),
Y - 19 = -10,
Y = 19 - 10 = 9.

P(2 , 9).

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