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 blocks
b.
12.7 blocks
c.
11.4 blocks
d.
13.1 blocks

Respuesta :

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

What 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:

https://brainly.com/question/17273444

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