Question

HELP ME PLEASE HELP ME HELP

Answer 1

`(2√(61) )/(3)`

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(- 3,
`(2)/(3)` )

AB =
`\sqrt{(-3-1)^2+((2)/(3)-4)^2 }`

=
`√((-4)^2+(-10/3)^2)`

=
`√(16+100/9)`

=
`√(144/9+100/9)`

=
`\sqrt{(244)/(9) }`

=
`\sqrt{(4(61))/(9) }`

=
`(2√(61) )/(3)`

Answer 2

5.21

Explanation:

(x2-x1)2 + ( y2-y1)2

(-3-1)2 + ( 2/3-4)2

16+ 11/1/9

square root of 27/1/9

5.21