The distance between points A and B is :
[tex]d(A,B)=4\sqrt{17} = 16.4924...[/tex]
Explanation
To find distance between points A(xA,yA) and B(xB,yB), we use formula:
[tex]d(A, B) = \sqrt{(xB-xA)^{2}+(yB-yA)^{2}}[/tex]
In this example: xA=10 , yA=−1 , xB=−6 and yB=3 so:
[tex]d(A, B) = \sqrt{(-6-10)^{2}+(3--1)^{2}}\\d(A, B) = \sqrt{(-16)^{2}+(4)^{2}}\\d(A, B) = \sqrt{(256+16}\\d(A, B) = \sqrt{272}\\ d(A, B) = 16.4924...[/tex]
Therefore, rounded to the nearest tenth, the answer is 16.5.
