Question

A coordinate grid is placed over a college Station map. Tiger Stadium is located at (-3,2)

Answer 1

Answer:

$4.61\ units$

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

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have the points

(-3, 2) and (4, 8)

substitute in the formula

$M=(\frac{-3+4}{2},\frac{2+8}{2})$

$M=(0.5,5)$

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

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

(-3,2) and (0.5,5)

substitute in the formula

$d=\sqrt{(5-2)^{2}+(0.5+3)^{2}}$

$d=\sqrt{(3)^{2}+(3.5)^{2}}$

$d=\sqrt{21.25}\ units$

$d=4.61\ units$