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Find the distance between the two points rounding to the nearest tenth (if needed)

(-8,6) and (-6,0)


Sagot :

Answer:

6.3 units (nearest tenth)

Step-by-step explanation:

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

Using the formula above,

distance between (-8, 6) and (-6, 0)

[tex] = \sqrt{ {[ - 8 - ( - 6)]}^{2} + {(6 - 0)}^{2} } [/tex]

[tex] = \sqrt{ {( - 8 + 6)}^{2} + {(6 - 0)}^{2} } [/tex]

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

[tex] = \sqrt{4 + 36} [/tex]

[tex] = \sqrt{40} [/tex]

= 6.3 units (nearest tenth)

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