Answer:
The distance between the two points (2, 5) and (–1, –5) is 10.44 units .
Step-by-step explanation:
Formula
[tex]Distance\ formula = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
As the points are (2, 5) and (–1, –5).
[tex]Distance = \sqrt{(-1 - 2)^{2} +(-5 -5)^{2}}[/tex]
[tex]Distance = \sqrt{(-3)^{2} +(-10)^{2}}[/tex]
[tex]Distance = \sqrt{9 + 100}[/tex]
[tex]Distance = \sqrt{109}[/tex]
[tex]\sqrt{109} = 10.44[/tex]
Distance = 10.44 units (Approx)
Therefore the distance between the two points (2, 5) and (–1, –5) is 10.44 units .
