Question

Find the distance between the points (7,-1) and (5,9)

Answer 1

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Answer:
`\textsf{10.198 units}`

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Given:
`\textsf{Points (7, -1) and (5, 9)}`

Find:
`\textsf{Determine the distance between the two points}`

Solution: In order to find the distance we need to use the distance formula, plug in the values, and simplify the expression.

Plug in the values

• 
  `d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

• 
  `d = √((5 - 7)^2 + (9 - (-1))^2)`

Simplify the expression

• 
  `d = √((-2)^2 + (9 + 1)^2)`

• 
  `d = √(4+ (10)^2)`

• 
  `d = √(4 + 100)`

• 
  `d = √(104)`

• 
  `d = 10.198`

After simplifying the expression we were able to determine that the distance between the two points is 10.198 units.