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

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Answer:

≈11.4

Step-by-step explanation:

We know that, Ryan lives 2 blocks west and 5 blocks south of Devin

=> Coordinate of Ryan: (-2,-5). Because:

  • 2 blocks west = 2 unit to the left = -2
  • 5 blocks south = 5 unit go down= -5

Andy lives 7 blocks east and 2 block north of Devin.

=>Coordinate of Andy: (7,2), because:

  • 7 blocks east = 7 unit ti the right = 7
  • 2 block north = 2 unit go up = 2

Hence, to find out the distance of Ryan and Andy, we use distance formula as below:

[tex]\sqrt{(2+5)^{2} + ((7+2)^{2} }[/tex]  ≈11.4

Answer:

Step-by-step explanation:

Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.

Coordinates of Ryan:

2 blocks west = -2

5 blocks south = -5

= (-2,-5)

Devin’s friend Andy lives 7 blocks east and 2 block north of Devin.

Coordinates of Andy:

7 blocks east = 7

2 blocks north = 2

= (7,2)

The distance of Ryan and Andy:

RtoA = sqrt((2 + 5)^2 + (7 + 2)^2)

= sqrt(49 + 81)

= 11.4

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