Question

What is the distance between the two points?

Answer 1

If you have 2 pairs such that A(x₁ , y₁) and B(x₂ , y₂). , the distance is:

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

A(1/8 , 9/5) and B(3/8 , - 4/5)

Plug in the related value:

AB = √[(3/8 - 1/8)² + ( - 4/5 - 9/5)²] = √(2729/400) (ALREADY SIMPLIFIED)
AB = distance = 2.61

Answer 2

`\bf d=\sqrt{\left[ (3)/(8)-(1)/(8) \right]^2+\left[-(4)/(5)-\left( -(9)/(5) \right) \right]^2}\implies d=\sqrt{\left( (3)/(8)-(1)/(8) \right)^2+\left(-(4)/(5)+(9)/(5) \right)^2} \\\\\\ d=\sqrt{\left( (2)/(8)\right)^2+\left((5)/(5) \right)^2}\implies d=\sqrt{\left( (1)/(4) \right)^2+\left( 1 \right)^2}\implies d=\sqrt{(1^2)/(4^2)+1}`


`\bf d=\sqrt{(1)/(16)+1}\implies d=\sqrt{\cfrac{17}{16}}\implies d=\cfrac{√(17)}{√(16)}\implies d=\cfrac{√(17)}{4}`