Respuesta :

Answer:

(5; 10)

Step-by-step explanation:

midpoint formula:

M=((x1+x2)/2 ; (y1+y2)/2))

((2+8)/2 ; (4+16)/2))

(5; 10)

Answer:

(5, 10)

Step-by-step explanation:

To find the midpoint of these coordinates, we need to use the Midpoint Formula, which is defined as [tex]M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2})[/tex].

We'll use (2,4) and (8,16) as Coordinate 1 and Coordinate 2, respectively.

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Finding the X-Coordinate

Insert the x-coordinate for both given coordinates.

[tex]\frac{2+8}{2} = \frac{10}{2} = x = 5[/tex].

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Finding the Y-Coordinate

Insert the y-coordinate for both given coordinates.

[tex]\frac{4 + 16}{2} = \frac{20}{2} = y = 10[/tex].

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Finding the Midpoint

By using both x- and y-coordinates found through the Midpoint Formula, we can conclude the Midpoint is located at (5, 10).