Answered

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Find the distance between the two points (2, -9) and (-1, 4) round to the nearest tenth .

Sagot :

Leora03

Answer:

13.3 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

[tex] = \sqrt{ {[2 - ( - 1)]}^{2} + ( - 9 - 4)^{2} } [/tex]

[tex] = \sqrt{ {(2 + 1)}^{2} + ( - 13) {}^{2} } [/tex]

[tex] = \sqrt{ {3}^{2} + ( - 13) {}^{2} } [/tex]

[tex] = \sqrt{9 + 169} [/tex]

[tex] = \sqrt{178} [/tex]

= 13.3 units (nearest tenth)

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