Match the distance with their respective endpoint coordinates distance coordinate 3.6 units a (-3,4) and (3,4) 4.5 units b (-5,3) and (-5,11) 6 units c (-20-18) and (-22-21) 8 units d (2,4) and origin 15 units e (7,8) and (-2,20) correct sequence of the matching a. bdaec b. bcdae c. cdabe d. cadbe

The distance between points is calculated through the equation,
             D = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

We calculate for the distances of each of the pairs.

(-3,4) and (3, 4)
     D = sqrt ((4 - 4)² + (3 --3)²) = 6   

(-5,3) and (-5,11)
    D = sqrt ((-5 --5)² +(11 - 3)²) = 8

(-20,-18) and (-22,-21)
   D = sqrt ((-20 --22)² + (-18 --21)²) = 3.6

(2,4) and origin
   D = sqrt ((2 - 0)² + (4 - 0)²) = 4.5

(7,8) and (-2,20)
  D = sqrt ((-2 - 7)² + (8 - 20)²) = 15

Arranging the distances will give us an answer of C, D, A, B, E
The answer is letter C. 

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.