Question

How far is Town Center from Maple Station? (please look at attachment) 15 POINTS

Answer 1

Answer:

5.83 units

Step-by-step explanation:

We write the coordinate points of Maple Station (-3,5) and Town Center (0,0). We label the points left to right as $(x_{1}, y_{1}) and (x_{2}, y_{2})$ and substitute the values.  

$(x_{1}, y_{1}) = (-3, 5)\\(x_{2}, y_{2})=(0,0)$

$d=\sqrt{(0-5)^{2} + (0-(-3) })^{2}}$

$d=\sqrt{(0-5)^{2} + (0+3) })^{2}}$

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

$d=\sqrt{25 +9}}$

$d=\sqrt{34}}$

5.83 units