A park is mapped on a coordinate plane, where C1, C2, C3, and C4 represent chairs and SW1, SW2, and SW3 represent swings. How far is C2 from SW1? A. 89−−√ units B. 145−−−√ units C. 97−−√ units D. 41−−√ units

Answer:
Option (B)
Step-by-step explanation:
To calculate the distance between C2 and SW1 we will use the formula of distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }[/tex]
Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.
By substituting these coordinates in the formula,
Distance between these points = [tex]\sqrt{(-6-2)^2+(-7-2)^2}[/tex]
= [tex]\sqrt{(64)+(81)}[/tex]
= [tex]\sqrt{145}[/tex] units
Therefore, Option (B) will be the correct option.