Given:
[tex]\begin{gathered} A(x_1,y_1)=(-4,2) \\ B(x_2,y_2)=(5,1) \end{gathered}[/tex]
To find- the distance between A and B.
Explanation-
The distance formula is given below-
[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the values, and we get
[tex]\begin{gathered} =\sqrt{(5-(-4))^2+(1-2)^2} \\ =\sqrt{(5+4)^2+(-1)^2} \end{gathered}[/tex]
On further solving, we get
[tex]\begin{gathered} =\sqrt{9^2+1^2} \\ =\sqrt{81+1} \\ =\sqrt{82} \\ =9.055 \end{gathered}[/tex]
The square root of 82 is done below-
Hence, the distance between (-4,2), and (5,1) is 9.055.
The answer is 9.055.
