Find the distance between the pair of points. give an exact answer, and, where appropiate, and apporximation to two decimal places. (-6,-1) and (4,3)

Respuesta :

  • Distance Formula: [tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
  • Product rule of radicals: √ab = √a x √b

Using our two points, we can solve for the distance as such:

[tex] \sqrt{(4-(-6))^2+(3-(-1))^2}\\ \sqrt{(10)^2+(4)^2}\\ \sqrt{100+16}\\ \sqrt{116} [/tex]

Now our exact answer may be √116, however using the product rule of radicals we can further simplify the radical as such:

√116 = √4 x √29 = 2√29.

  • Exact Answer: √116 or 2√29
  • Approximate Answer: 10.77
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