Find the distance between the points

Question

(2/5,1/10) and (1/5,5/10)

 

The distance is?_____

Answer 1

The formula is √(x₁ -x₂)² + (y₁-y₂)²     or you could graph it, complete the right triangle and use the Pythagorean theorem.

 

(?)² + (-?)² = 1/25 + 4/25 =5/25 = ? or .2 units

 

√.2 = .45 units 

 

Answer 2

the distance formula is as follows: d=√[(X2-X1)²+(Y₂-Y₁)²]

 

plug in the values 

 

d=√[(1/5-2/5)²+(5/10-1/10)²]

d=√[(-1/5)²+(4/10)²]

d=√(1/25+16/100)

d=√(1/25+4/25)

d=√(5/25)

d=√5/√25

d=√5/5