Find the distance between A (4, 6) and B (9, 7). Write your answer as a radical and as a decimal rounded to the nearest
tenth.
The distance between the two points is ___ or about ___

Respuesta :

Answer: the distance between the two points is √26 or about 5.1

Step-by-step explanation:

A(4,6)   B(9,7)

[tex]\boxed {L_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} }\\\\L_{AB}=\sqrt{(9-4)^2+(7-6)^2} \\\\L{ab}=\sqrt{5^2+1^2}\\\\ L_{AB}=\sqrt{25+1} \\\\L_{AB}=\sqrt{26} \\\\L_{AB}\approx5.1[/tex]