Answer:
d = √74
d = 8.6 (to the nearest tenth place)
Explanations:
Given the expression to calculate the distance between the coordinates (-2, 1) and (5, -4) as shown:
[tex]d=AB=\sqrt{(5-(-2))^2+(-4-1)^2}[/tex]
Simplify
[tex]\begin{gathered} d=\sqrt{(5+2)^2+(-5)^2} \\ d=\sqrt{7^2+5^2} \\ d=\sqrt{49+25} \\ d=\sqrt{74} \\ d\approx8.6 \end{gathered}[/tex]
Hence the simplified form of the expression is √74 or 8.6
