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3 years ago

Find the other endpoint given the following Endpoint: (5,-3) Midpoint: (7,-6)

Mathematics

1 answer:

dusya [7]3 years ago

7 0

The answer is (9, -9) for The second endpoint.

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 5)/2 = 7

Kx + 5 = 14

Kx = 9

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -3)/2 = -6

Ky + 3 = -12

Ky = -9

This gives us the final point of (9, -9)

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3 years ago

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3 years ago

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ale4655 [162]

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2 years ago

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leonid [27]

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2 years ago