we are given
[tex] A= (10,4) \ and \ B= (2,19) [/tex]
we have been asked to find the distance AB.
The distance between the two points can be found using the formula
[tex] D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\
\\
\text{where two points on the Cartesian plane are } (x_1, x_2) \ and \ (y_1,y_2)\\ [/tex]
[tex] D=\sqrt{(10-2)^2+(4-19)^2}\\
\\
D=\sqrt{(8)^2+(-15)^2}\\
\\
D=\sqrt{64+225}\\
\\
D=\sqrt{289}\\
\\
D=17 [/tex]
Length of AB=17
