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Arada [10]
4 years ago
8

Find the distance between the points E(3,7) and F(6,5)

Mathematics
1 answer:
Vesna [10]4 years ago
4 0

Answer:

<h3>\boxed{ \bold{  \huge{ \boxed{ \sf{ \sqrt{13}  \:  \: units}}}}}</h3>

Step-by-step explanation:

Solution,

E ( 3 , 7 ) ⇒ ( x₁ , y₁ )

F ( 6 , 5 ) ⇒( x₂ , y₂ )

<u>Finding </u><u>the </u><u>distance </u><u>between </u><u>these</u><u> </u><u>points</u><u>:</u>

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

plug the values

⇒\sf{ \sqrt{ {(6 - 3)}^{2} +  {(5 - 7)}^{2}  } }

Calculate the sum or difference

⇒\sf{ \sqrt{ {3}^{2} +  {( - 2)}^{2}  } }

Evaluate the power

⇒\sf{ \sqrt{9 + 4} }

Add the numbers

⇒\sf{ \sqrt{13} } units

Hope I helped !

Best regards!!!

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