Question

Please help me with 1,2,3,4 and show me how you get it the answers

Answer 1

Explanation:

Use the formula of distance between the two points
`(x_1,y_1)` and
`(x_2,y_2)`,

Distance =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

1. Distance between A(3, 4) and B(8, 12),

AB =
`√((8-3)^2+(12-4)^2)`

AB =
`√(25+64)`

=
`√(89)`

≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

CD =
`√((3+2)^2+(-2-10)^2)`

=
`√(25+144)`

=
`√(169)`

= 13.00

3. Distance between X(20, 4) and Y(17, 0),

XY =
`√((20-17)^2+(4-0)^2)`

=
`√(3^2+4^2)`

=
`√(25)`

= 5.00

4. Distance between E(2, -1) and M(6, 9),

EM =
`√((2-6)^2+(-1-9)^2)`

=
`√(16+100)`

=
`√(116)`

= 10.77