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What are the x- and y- coordinates of point e, which partitions the directed line segment from j to k into a ratio of 1:4? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–13, –3) (–7, –1) (–5, 0) (17, 11)

Answer :

QWARROWGO

Point E's coordinates are (-7, -1).

The formulas for our new x and y are provided to us. We must first establish our points 1 and 2 before applying this formula. Due to the fact that the issue was sole with the point E that divides the line segment "from J to K,"

the following formula: point 1 = point J = (x1, y1)

Points 2 and K are equal (x2, y2)

The partition segments JE and EK take up a certain amount of the original segment, as indicated by the variables m and n. Given that the ratio is 1:1, then

JE = m = 1

EK = n = 4

Consequently, using the above formulas to calculate for x and y:

x = [1 / (1 + 4)] (25 – (-15)) + (-15) (-15)

x = -7

y = [1 / (1 + 4)] (15 – (-5)) + (-5) (-5)

y = -1

Consequently, point E's coordinates are (-7, -1)

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