Question

Question
Find the distance between the points (-5, 8) and (-3,0).

Answer 1

To calculate the distance between two points we use this formula:

`\boxed{ \boxed{{d \: = \: \sqrt{(x_2 \: - \: x_1)^(2) \: + \: (y_2 \: - \: y_1)^(2) } }}}`

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We organize the values:

• x₁ = -5
• x₂ = -3
• y₁ = 8
• y₂ = 0

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We apply the values already obtained to the formula to get the distance:

`d \: = \: \sqrt{( - 3 \: - \:( - 5))^(2) \: + \: (0 \: - \: 8)^(2) }`

`d \: = \: \sqrt{( - 3 \: - \: ( - 5))^(2) \: + \: ( - 8)^(2) }`

`d \: = \: \sqrt{( - 3 \: + \: 5) ^(2) \: + \: 64 }`

`d \: = \: \sqrt{ {2}^(2) \: + \: 64 }`

`d \: = \: √(4 \: + \: 64)`

`d \: = \: √(68)`

`d \: = \boxed{ \bold{ \: 2 √(17) \: units}}`

Answer:

`\huge{\boxed{ \bold{2 √(17) \: units }}}`

MissSpanish