Question

a circular sidewalk is being constructed around the perimeter of a local park. a brick pathway will be added through the diameter of the circle as shown on the coordinate plane below, and a tree will be planted in the sidewalk at the center of the circle. what is the x-coordinate where the tree will planted?

Explanation:

Step1: Recall midpoint x-formula

The x-coordinate of the midpoint between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{x_1+x_2}{2}$

Step2: Substitute given x-values

The two points are $(-1,4)$ and $(9,10)$. Substitute $x_1=-1$, $x_2=9$:
$\frac{-1+9}{2}$

Step3: Calculate the result

$\frac{8}{2}=4$

Answer:

4