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 system
2 blocks west (2 unit left from origin) = -2
5 blocks south (5 unit down) = -5
Coordinate of Ryan: (-2,-5)
Devin’s friend Andy lives 7 blocks east and 2 blocks north of Devin.
Position of Andy on the coordinate system
7 blocks east (7 unit right ) = 7
2 block north (2 unit up) = 2
Coordinate 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 Andy
[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.
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