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What point divides directed line segment CD into a 3:7 ratio? C(−20,10) and D(20,10)

User Jeorfevre
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1 Answer

2 votes

Answer:

(-8,10)

Explanation:

The distance is given by the formula

d = sqrt( (x2-x1)^2 + (y2-y1) ^2)

d = sqrt( (20--20) ^2 + (10-10) ^2))

d = sqrt( (20+20)^2 + 0)

d = sqrt(40^2)

d = 40

We want a ratio of 3 to 7

The total is 3+7 = 10

Divide 40 by 10 = 4

Multiply 3 and 7 by 4 to get the correct ration

3*4: 7*4

12: 28

Add 12 to the starting point and the ratio will be correct

-20+12 = -8 for the x coordinate, the y coordinate does not change y=10

(-8,10)


User Kwolfe
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5.7k points