Question

On a state map, a cartographer plots Texmath at coordinates (2, 2) and Lonestar Village at coordinates (9, 16). How far is it from Texmath to Lonestar Village?

Answer 1

Since two points are given, we can use the distance formula in order to know hpw far is it from Texmath to Lonestar Village. Distance formula is written as

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

Substituting the values, we have:

Distance =
`\sqrt{ ( 9-2 )^(2) +(16-2)^(2) }`

=
`√(7^2 +14^2)`

= √245 = 15.65 units