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Lemur [1.5K]
3 years ago
7

a segment has a midpoint (-2,9) and one endpoint (2,8). what is the x coordinate of the other endpoint?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

<em>The x coordinate of the other endpoint is -6</em>

<em></em>

<h2>Explanation:</h2>

The midpoint formula can be found as:

M(x,y)=\lef(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )

So we have the midpoint:

(-2,9)

and an endpoint:

(2,8)

So, we can find the x coordinate of the other endpoint, say, x_{2} as:

x=\frac{x_{1}+x_{2}}{2} \\ \\ Isolating \ x_{2}: \\ \\ x_{1}+x_{2}=2x \\ \\ x_{2}=2x-x_{1} \\ \\ x=-2 \\ \\ x_{1}=2 \\ \\ x_{2}=2(-2)-2 \\ \\ x_{2}=-4-2 \\ \\ x_{2}=-6

In conclusion, <em>the x coordinate of the other endpoint is -6</em>

<em></em>

<h2>Learn more:</h2>

Finding midpoint: brainly.com/question/13773601

#LearnWithBrainly

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