What point divides directed line segment cd into a 3: 7 ratio? c(−20,10) and d(20,10)

(-8,10)

Step-by-step 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)

24 units

step-by-step explanation:

thats not a system of equations, that is a solution