Answer:
[tex]4.61\ units[/tex]
Step-by-step explanation:
The complete question is
A coordinate grid is placed over a College Station map. Tiger Stadium is located at (-3, 2) and Kyle Field is located at (4, 8). If a shuttle bus stop is at the midpoint between Tiger Field and Kyle Field, which is the closest to the distance in coordinate units from Tiger Field to the shuttle bus stop?
Options
4.61 units
6.52 units
9.22 units
21.25 units
step 1
Find the midpoint between Tiger Field and Kyle Field ( shuttle bus stop)
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
we have the points
(-3, 2) and (4, 8)
substitute in the formula
[tex]M=(\frac{-3+4}{2},\frac{2+8}{2})[/tex]
[tex]M=(0.5,5)[/tex]
step 2
Find the distance from Tiger Field to the shuttle bus stop
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have the points
(-3,2) and (0.5,5)
substitute in the formula
[tex]d=\sqrt{(5-2)^{2}+(0.5+3)^{2}}[/tex]
[tex]d=\sqrt{(3)^{2}+(3.5)^{2}}[/tex]
[tex]d=\sqrt{21.25}\ units[/tex]
[tex]d=4.61\ units[/tex]
