Question

12

11
10
9
8
7
6
5
4
3
2
1
A(4,2)
B(9, 10)
1 2 3 4 5 6 7 8 9 10 11 12
OA. 13 units
OB. About 3.6 units
C. 89 units
OD. About 9.4 units

Answer 1

D

Explanation:

calculate the length of AB using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )

AB =
`√((9-4)^2+(10-2)^2)`

=
`√(5^2+8^2)`

=
`√(25+64)`

=
`√(89)`

≈ 9.4 ( to 1 decimal place )