Find the distance between the pair of points. Give an exact answer and a three-decimal-place approximation

Question

Find the distance between the pair of points. Give an exact answer and a three-decimal-place approximation.

(2.8,-1.8) and (-8.3,9.6)

 

Find the exact distance 

Find the decimal approximation (type the integer or decimal rounded to three decimal places as needed) 

Answer 1

Start with the distance formula:

 

√[(x₂-x₁)²+(y₂-y₁)²]

 

Plugging your x and y values in you get:

 

√[(-8.3-2.8)²+(9.6-(-1.8))²]

 

Simplify inside before you square:

 

√[(-11.1)²+(11.4)²]

 

√(123.21)+(129.96)

 

√(253.17)

 

15.911