natalia7480 natalia7480
  • 30-08-2021
  • Mathematics
contestada

Find the distance between the points (0,-2) and (-3,-6)

Respuesta :

Leora03
Leora03 Leora03
  • 30-08-2021

Answer:

5 units

Step-by-step explanation:

[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } }[/tex]

Distance between (0, -2) and (-3, -6)

[tex] = \sqrt{{[ - 2 - ( - 6)]}^{2} + {[0 - ( - 3)]}^{2} } [/tex]

[tex] = \sqrt{ {( - 2 + 6)}^{2} + (0 + 3)^{2} } [/tex]

[tex] = \sqrt{ {4}^{2} + {3}^{2} } [/tex]

[tex] = \sqrt{25} [/tex]

= 5 units

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