The direct distance from the school to the library, travelled by Alice can be
found using Pythagoras's theorem.
The number of miles Britney travelled more than Alice is; 8 miles
Reason:
The distance, d, between points given their coordinates, (x₁, y₁), (x₂, y₂) can
be found with the formula;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
The above formula can be obtained using Pythagoras's theorem.
The distances travelled by Britney are;
Distance from the school to the mall = [tex]\sqrt{(10 - 10)^2 + (6 - (-4))^2}[/tex] = 10
Distance from the mall to the library = [tex]\sqrt{(-14 - 10)^2 + (6 - 6)^2}[/tex] = 24
Total distance travelled by Britney = 24 miles + 10 miles = 34 miles
The distance travelled by Alice is from the school to the library, which
gives; Alice's distance = [tex]\sqrt{(10 - (-14))^2 + (-4 - 6)^2}[/tex] = 26
Distance travelled by Alice from the school to the library is 26 miles
The number of miles more Britney traveled is 34 miles - 26 miles = 8 miles
Therefore;
Britney traveled 8 miles more than Alice
Learn more here;
https://brainly.com/question/3508899
