Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.

Each gridline represents one mile If Ryan drove from home to the soccer field and then from the soccer field to the library traveling in a straight line to each class=

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Answer:

13 miles

Step-by-step explanation:

Given that he traveled in a straight line to each destination. Then,

i. distance from his home to soccer field = [tex]\sqrt{x^{2} + y^{2} }[/tex]

                                      = [tex]\sqrt{4^{2} + 3^{2}}[/tex]

                                      = [tex]\sqrt{16 + 9}[/tex]

                                      = [tex]\sqrt{25}[/tex]    = 5 miles

ii. The distance from soccer field to the library = 8 miles.

So that we can say that;

Ryan's total distance from home to the library = 5 + 8

                                                      = 13 miles

Thus, Ryan would have traveled 13 miles by the time he reached the library.