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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ midpoint ​(​-6,​-24), endpoint ​(​-12,-19​)

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Answer: other endpoint of the segment are (6, -29)

Explanation:

To find the coordinates of the other endpoint of the segment given its midpoint and one endpoint, you can use the midpoint formula in reverse. The midpoint formula is:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

You already have the midpoint, which is (-6, -24), and one endpoint, which is (-12, -19). Let's call the coordinates of the other endpoint (x2, y2).

Plugging the values into the formula:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

(-6, -24) = ((-12 + x2) / 2, (-19 + y2) / 2)

Now, you can solve for x2 and y2. Start with the x-coordinate:

-6 = (-12 + x2) / 2

Multiply both sides by 2 to isolate x2:

-12 = -12 + x2

Now, add 12 to both sides to find x2:

x2 = -6 + 12

x2 = 6

Now, find the y-coordinate using the same approach:

-24 = (-19 + y2) / 2

Multiply both sides by 2 to isolate y2:

-48 = -19 + y2

Add 19 to both sides to find y2:

y2 = -48 + 19

y2 = -29

So, the coordinates of the other endpoint of the segment are (6, -29)

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