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

Answer:

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

Option C is the correct option.

Step-by-step 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

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

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

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

$\dashrightarrow{ \sf{ \sqrt{9 + 36}}}$

$\dashrightarrow {\sf{ \sqrt{45} }}$

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

Hope I helped!

Best regards! :D