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katen-ka-za [31]
3 years ago
14

Point J (-2,1) and point K (4,5) form line segment JK. For the point P that partitions JK in the ration 3:7, what is the y- coor

dinate of P?
Mathematics
2 answers:
Ainat [17]3 years ago
7 0
Y = 2.4 and the x = -0.3
amid [387]3 years ago
6 0

Answer:

2.2

Step-by-step explanation:

If  point P (Xp, Yp) divides a line segment from J (Xj, Yj) to K (Xk, Yk) in the ratio a:b, then the y-coordinate of P is

Yp = Yj + a/(a+b) * (Yk - Yj)

Here Yj = 1, Yk = 5, a = 3 and b = 7. Replacing

Yp = 1 + 3/(3+7) * (5 - 1)

Yp = 2.2

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If you are having trouble with ratios, turn them into fractions.

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Shelby spends 2/7 of her salary on her monthly rent and has $3455 left over. How much does she spend on her rent each month?
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