Question

What is the length of segment AB? (4 points)

Answer 1

Answer:

2:4  means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Step-by-step explanation:

Add  1/3 of the distance from -2 to 4.  (1/3)(4+2)=2.  -2+2=0   The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6,  (1/3)6+6)=4   6-4=2  The y coordinate is 2

The point is (0,2)

Check the answer

distance from (-2,6) to (0,2)   is square root of (-2)^2 + (4)^2 = sqr20 = 2(5)^2

distance from (0,2) to (4,-6)  is square root of (4)^2 +(8)^2 = sqr80 = 4(5)^2

First distance is half the 2nd distance,  so the point divides AB into 2 parts in a ratio of 2:4