MATH SOLVE

4 months ago

Q:
# Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?a.16 blocksb.12.7 blocksc.11.4 blocksd.13.1 blocks

Accepted Solution

A:

Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Ryan and Andy live 11.4 blocks from each other.Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.Position of Ryan on the coordinate system2 blocks west (2 unit left from origin) = -25 blocks south (5 unit down) = -5Coordinate of Ryan: (-2,-5)Devin’s friend Andy lives 7 blocks east and 2 blocks north of Devin.Position of Andy on the coordinate system7 blocks east (7 unit right ) = 72 block north (2 unit up) = 2Coordinate of Andy: (7,2)We need to find the distance between Ryan and Andy.Using the distance formula to find the distance between Ryan and AndyWhat is the distance formula?[tex]AB=\sqrt{(x_1+x_2)^2+(y_1+y_2)^2}[/tex]Therefore,by using the formula we have,[tex]RA=\sqrt{(2+5)^2+(7+2)^2} \\RA=\sqrt{49+81}\\ RA=\sqrt{130} \\RA=11.40[/tex]Hence, Ryan and Andy live 11.4 blocks from each other.C is correct.To learn more about the distance visit: #SPJ3