Solution 4.1:4b
From Förberedande kurs i matematik 1
If we use the distance formula
\displaystyle d=\sqrt{(x-a)^2+(y-b)^2} |
to determine the distance between the points \displaystyle (x,y) = (-2,5) and \displaystyle (a,b) = (3,-1), we get
\displaystyle \begin{align}
d &= \sqrt{(-2-3)^2+(5-(-1))^2}\\[5pt] &= \sqrt{(-5)^2+6^2}\\[5pt] &= \sqrt{25+36}\\[5pt] &= \sqrt{61}\,\textrm{.} \end{align} |