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:

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

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

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

$d \: = \: \sqrt{ {2}^{2} \: + \: 64 }$

$d \: = \: \sqrt{4 \: + \: 64}$

$d \: = \: \sqrt{68}$

$d \: = \boxed{ \bold{ \: 2 \sqrt{17} \: units}}$

Answer:

$\huge{\boxed{ \bold{2 \sqrt{17} \: units }}}$

MissSpanish