Answer:
20. Arthur and Jamie are 39.1 meters are apart
21. Arthur is closer to Cameron
22. Jamie is the closest to the soccer ball
Step-by-step explanation:
* "I have added screenshot of the complete question as well as
the diagram)
20.
∵ The location of Arthur is (20 , 30)
∵ The location of Jamie is (45 , 60)
- Lets use the rule of the distance to find how they are far apart
∵ [tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
- Let the location of Arthur is [tex](x_{1},y_{1})[/tex] and the location
of Jamie is [tex](x_{2},y_{2})[/tex]
∴ [tex]d=\sqrt{(45-20)^{2}+(60-30)^{2}}=\sqrt{(25)^{2}+(30)^{2}}=39.1[/tex]
∴ d = 39.1 meters
* Arthur and Jamie are 39.1 meters are apart
21.
- To find who is closest to Cameron, find the distance between
Cameron and each one of them
∵ The location of Cameron is (70 , 10)
- By using the rule of the distance find the distance between
Cameron and Arthur d1 and the distance between Cameron
and Jamie d2
∵ [tex]d1=\sqrt{(70-20)^{2}+(10-30)^{2}}=\sqrt{(50)^{2}+(-20)^{2}}=53.9[/tex]
∴ d1 = 53.9 meters
∵ [tex]d2=\sqrt{(70-45)^{2}+(10-60)^{2}}=\sqrt{(25)^{2}+(-50)^{2}}=55.9[/tex]
∴ d2 = 55.9 meters
∵ The distance between the Cameron and Arthur is 53.9 meters
∵ The distance between the Cameron and Jamie is 55.9 meters
∵ The distance between Arthur and Cameron < the distance
between Jamie and Cameron
∴ Arthur is closer to Cameron
22.
- To know who is closest to the soccer ball find the distance
between it and them
∵ The location of the soccer ball is (35 , 60)
∵ d1 is the distance between Cameron and it
∵ d2 is the distance between Arthur and it
∵ d3 is the distance between Jamie and it
∴ [tex]d1=\sqrt{(70-35)^{2}+(10-60)^{2}}=\sqrt{(35)^{2}+(-50)^{2}}=61.0[/tex]
∴ d1 = 61.0 meters
∴ [tex]d2=\sqrt{(20-35)^{2}+(30-60)^{2}}=\sqrt{(-15)^{2}+(-30)^{2}}=33.5[/tex]
∴ d2 = 33.5 meters
∴ [tex]d3=\sqrt{(45-35)^{2}+(60-60)^{2}}=\sqrt{(10)^{2}+(0)^{2}}=10[/tex]
∴ d3 = 10 meters
∵ d3 is the shortest distance
∴ Jamie is the closest to the soccer ball
- You can find this answer by easiest way if you put the location of the soccer ball on the picture of the field
