Mathematics
31.01.2022 12:46
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Find the distance between the endpoints (7,8) (4,2) A.10.8 B.2.2 C.6.7 D.14.9

Find the distance between the endpoints (7,8) (4,2) A.10.8 B.2.2 C.6.7 D.14.9
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khushi91
khushi91
4,8(50 marks)

\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

muinat
muinat
4,9(2 marks)
A. 6.9 x 10(5)

Trust me I'm right.

Let me know if you need any other questions answered.

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