Answer
Find out the distance between points S and U .
To prove
Formula
[tex]Distance\ formula = \sqrt{{(x_{2} - x_{1})^{2} +{(y_{2} - y_{1})^{2} }[/tex]
Two points be S(2, 1) and U(6,8) .
Put in the formula
[tex]Distance\ formula = \sqrt{{(6- 2)^{2} +{(8- 1)^{2} }[/tex]
Solving the above
[tex]Distance\ formula = \sqrt{{4^{2} +{7^{2} }[/tex]
[tex]Distance\ formula = \sqrt{16+49}[/tex]
[tex]Distance\ formula = \sqrt{65}[/tex]
[tex]\sqrt{65} = 8.1units (approx)[/tex]
Distance formula = 8.1 units (approx)
Therefore the length from S to U be 8.1 units (approx) .
Option (c) is correct .
