Answer:
9.0
Step-by-step explanation:
Use the midpoint formula:
[tex]midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
Insert the values of the points:
[tex](10,14)(-8,14)\\\\m=(\frac{10-8}{2},\frac{14+14}{2})[/tex]
Simplify:
[tex]m=(\frac{2}{2},\frac{28}{2})\\\\m=(1,14)[/tex]
Now use the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Plug in Sarah's home coordinates and the point of the park and solve:
[tex](10,14)(1,14)\\\\\sqrt{(1-10)^2+(14-14)^2}[/tex]
Simplify parentheses:
[tex]\sqrt{(-9)^2+(0)^2}[/tex]
Simplify exponents:
[tex]\sqrt{81} =9[/tex]
Round to the nearest tenth:
9.0
Finito.
