The answer to the equation is c
Answer:
The answer is
<h2>( 5 , - 2 )</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(1,6) and (9,-10)
The midpoint is

We have the final answer as
<h3>( 5 , - 2)</h3>
Hope this helps you
Answer:
Step-by-step explanation:
The perimeter of the pentagon is approximately 19.6.
<h3>Procedure - Determination of the perimeter of a pentagon</h3><h3 />
In this question we must plot the locations of each vertex on a Cartesian plane to determine the line segments that form the perimeter, whose lengths are determined by Pythagorean theorem and sum the resulting values to find the perimeter.
According to the image attached below, the line segments of the pentagon are MN, NP, PQ, QR and RM. By Pythagorean theorem we have the following lengths:
<h3>Line segment MN</h3><h3 /><h3>
![l_{MN} = \sqrt{[2-(-2)]^{2}+(5-5)^{2}}](https://tex.z-dn.net/?f=l_%7BMN%7D%20%3D%20%5Csqrt%7B%5B2-%28-2%29%5D%5E%7B2%7D%2B%285-5%29%5E%7B2%7D%7D)
</h3><h3>

</h3><h3 /><h3>Line segment NP</h3><h3 /><h3>

</h3><h3>

</h3><h3 /><h3>Line segment PQ</h3><h3 /><h3>

</h3><h3>

</h3><h3 /><h3>Line segment QR</h3><h3 /><h3>

</h3><h3>

</h3><h3 /><h3>Line segment RM</h3><h3 />


And the perimeter of the pentagon is:
(1)



The perimeter of the pentagon is approximately 19.6. 
To learn more on pentagons, we kindly invite to check this verified question: brainly.com/question/27476
The linear equation is y = 0.5x
<h3>How to determine the equation?</h3>
The points on the line are given as: (0,0) and (2,1)
The equation is then calculated using:

Substitute the known values

Evaluate
y = 0.5x
Hence, the equation is y = 0.5x
Read more about linear equations at:
brainly.com/question/14323743
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