Respuesta :

Answer:

The midpoint of the given coordinates is [tex](\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5)[/tex].

Step-by-step explanation:

We have given two coordinates (3,15) and (20,8).

Let we have given a line segment PQ whose P coordinate is (3,15) and Q coordinate is (20,8).

We have to find out the mid point M(x,y) of the line segment PQ.

Solution,

By the mid point formula of coordinates, which is;

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

On substituting the given values, we get;

[tex]M(x,y)=(\frac{3+20}{2}, \frac{15+8}{2})\\\\M(x,y)=(\frac{23}{2},\frac{23}{2})[/tex]

We can also say that [tex]M(x,y)=(11.5,11.5)[/tex]

Hence The midpoint of the given coordinates is [tex](\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5)[/tex].

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