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Slav-nsk [51]
2 years ago
10

M is the midpoint of AB. Find the coordinates of B given A(3,8) and M(5,4).

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
3 0

Answer: B(7,0)

Step-by-step explanation:

Since coordinate of A(3,8) and M(5,4), where M is the midpoint of AB.

Let the coordinate of B be (x,y)

Therefore, the distance AM is equal to distance MB.

Distance = sqrt{ (5 - 3)² + (4-8)² } =sqrt { (x-5)² + (y-4)²}

Comparing corresponding coordinates,

5-3 = x-5

x= 5+5-3 = 7

4-8 = y-4

y= 4-8+4= 0

Therefore, the coordinate of B is (7,0)

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