Question

Find the distance between the endpoints (7,8) (4,2) A.10.8 B.2.2 C.6.7 D.14.9

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{6.7}}}}}`

Option C is the correct option.

Explanation:

Let the points be A and B

Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )

Finding the distance between these points

`\boxed{ \sf{distance \: = \: \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(4 - 7)}^(2) + {(2 - 8)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {( - 3)}^(2) + { (- 6)}^(2) } }}`

`\dashrightarrow{ \sf{ √(9 + 36)}}`

`\dashrightarrow {\sf{ √(45) }}`

`\dashrightarrow{ \sf{6.7 \: \: units}}`

Hope I helped!

Best regards! :D