Question

Find the distance between 0,7 and 9,-6

Answer 1

Given:-

• 
  `\textsf{(0 , 7) }`

`\:`

• 
  `\textsf{(9 , -6)}`

`\:`

To find:-

• 
  `\textsf{Distance between two points = ?}`

`\:`

By using formula:-

`\pink\bigstar \underline{{ \boxed{ \sf{ \color{lightgreen}Distance = √(( x_2 - x_1 )² + ( y_2 - y_1 )²)}}}}`

`\:`

Solution:-

`\sf{D = √(( x_2 - x_1 )² + ( y_2 - y_1 )²) }`

`\:`

where ,

• 
  `\sf \bold{0 = x_1 }`

`\:`

• 
  `\sf \bold{ 7 = y_1}`

`\:`

• 
  `\sf \bold{ 9 = x_2 }`

`\:`

• 
  `\sf \bold{ -6 = y_2}`

`\:`

`\sf \: D = √(( 9 - 0 )² + ( -6 - 7)²)`

`\:`

`\sf \: D = √( ( 9 )² + ( - 13 )²)`

`\:`

`\sf \:D = √( 81 + 169)`

`\:`

`\underline{ \underline{ \sf{ \color{hotpink} \: D = \sqrt{{250}\: }}}}`

`\:`

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hope it helps:)