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

12
10
8
6
4-
2-
Х
0
B
-10 -8 -6 -4
-2
0
2
4
6
00
10
-2
-6
10
12
ОСОО
13
15

User Dukeking
by
8.2k points

1 Answer

7 votes

Answer:

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

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

User Yntelectual
by
8.5k points

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