Question

Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.

Answer 1

6.3 cm

Explanation:

Answer 2

Arrow C.

Explanation:

Out of three arrows, nearest arrow from the origin will be the best arrow.

Ordered pair for arrow A → (-5, 4)

Distance between A and bullseye =
`\sqrt{(y_(2)-y_(1))^2+(x_(2)-x_(1))^2}`

=
`√((0+5)^2+(0-4)^2)`

=
`√(41)`

= 6.40 units

Ordered pair for arrow B → (5, -5)

Distance between B and bullseye =
`√((0-5)^2+(0+5)^2)`

=
`5√(2)`

= 7.1 units

Ordered pair for arrow C → (-2, -6)

Distance between C and the bullseye =
`√((0+2)^2+(0+6)^2)`

=
`√(40)`

= 6.32 units

Distance between C and the bullseye is the shortest.

Therefore, arrow C will be the best arrow.