Question

The shortest distance from P(5, 1) to Q(8, -3) is (A) 25 (B) 185 (C) 3 (D) 173 (E) 5​

Answer 1

E

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = P (5, 1 ) and (x₂, y₂ ) = Q (8, - 3 )

d =
`√((8-5)^2+(-3-1)^2)`

=
`√(3^2+(-4)^2)`

=
`√(9+16)`

=
`√(25)`

= 5