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Svetradugi [14.3K]
3 years ago
15

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving th

e theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0
For this case, what we must do is find the distance between each ordered pair.
 For this, we use the formula of distance between points.
 We have then:
 d =  \sqrt{(x2-x1)^2+(y2-y1)^2}

 For (0, 0) and (0, 7):
 
d1=\sqrt{(0-0)^2+(7-0)^2}
 d1=\sqrt{(0)^2+(7)^2}
 d1=\sqrt{0+49}
 d1=\sqrt{49}
 d1=7

 For (0, 7) and (5, 7):
 
d2=\sqrt{(5-0)^2+(7-7)^2}
 d2=\sqrt{(5)^2+(0)^2}
 d2=\sqrt{25+0}
 d2=\sqrt{25}
 d2=5

 For (5, 7) and (5, 0):
 
d3=\sqrt{(5-5)^2+(7-0)^2}
 d3=\sqrt{(0)^2+(7)^2}
 d3=\sqrt{0+49}
 d3=\sqrt{49}
 d3=7

 before returning home the total distance is:
 d1 + d2 + d3 = 7 + 5 + 7

d1 + d2 + d3 = 19

 Answer:
 
before returning home Tommy walks about 19 blocks

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