Question

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 1

The answer is choice b

Answer 2

Option (B)

Explanation:

To calculate the distance between C2 and SW1 we will use the formula of distance between two points
`(x_1,y_1)` and
`(x_2,y_2)`.

d =
`\sqrt{(x_2-x_1)^(2)+(y_2-y_1)^2 }`

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 =
`√((-6-2)^2+(-7-2)^2)`

=
`√((64)+(81))`

=
`√(145)` units

Therefore, Option (B) will be the correct option.