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KonstantinChe [14]
3 years ago
13

What is the distance between the points A(-1,7) and B(-3,-5)

Mathematics
2 answers:
Yakvenalex [24]3 years ago
8 0

Distance between two points formula: \sqrt{(x2-x1)^2+(y2-y1)^2}

= \sqrt{(-3-(-1))^2+(-5-7)^2}\\= \sqrt{(-2)^2+(-12)^2}\\= \sqrt{4 + 144} \\= \sqrt{148} \\= 12.1655...

Round if necessary.

12.1655 ≈ 12.12

Therefore, the distance between both points is 12.1655... or 12.12

Best of Luck!

Murljashka [212]3 years ago
3 0

Step-by-step explanation:

The distance between the points A(-1,7) and B(-3,-5)

AB =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} }

AB =  \sqrt{ {(  - 5 - 7)}^{2}  +  { ( - 3  + 1)}^{2} }

AB =  \sqrt{ { (- 12)}^{2} +  {( - 2)}^{2}  }

AB =  \sqrt{144 + 4}

AB =  \sqrt{148}

AB = 2 \sqrt{37}

AB = 12.1

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