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AB has one endpoint located at A (4,3) and the midpoint is located at M (1,0). What is the location of the other endpoint B?

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Final answer:

To find the location of the other endpoint B, we can use the midpoint formula. The coordinates of A are (4,3) and the coordinates of the midpoint M are (1,0). Plugging these values into the formula, we get (4,3) = ((1+x2)/2, (0+y2)/2). Solving this equation, we find that the location of the other endpoint B is (7,6).

Step-by-step explanation:

To find the location of the other endpoint B, we can use the formula for finding the midpoint of a line segment. The midpoint formula is (x,y) = ((x1 + x2)/2, (y1 + y2)/2). In this case, the coordinates of A are (4,3) and the coordinates of the midpoint M are (1,0). Plugging these values into the formula, we get (4,3) = ((1+x2)/2, (0+y2)/2).

Now, we can solve this equation to find the value of x2 and y2. Multiplying both sides of the equation by 2, we get 8 = 1 + x2 and 6 = y2. Subtracting 1 from both sides of the equation, we get x2 = 7 and y2 = 6.

Therefore, the location of the other endpoint B is (7,6).

User Syed Hamza Hassan
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