What is the distance between point a and point b? round your answer to the nearest tenth.

The distance between A and B is 3.6 units ⇒ 2nd answer

Step-by-step explanation:

* Lets study how to find the distance between two points

- If we have point A (x1 , y1) and B (x2 , y2), then the distance

 between them = √[(x2 - x1)² + (y2 - y1)²]

* Now lets find A and B from the graph and calculate the

 distance between them

∵ A = (-3 , 9) and B = (-1 , 6)

∵ (x2 - x1) = -1 - (-3) = -1 + 3 = 2

∵ (y2 - y1) = 6 - 9 = -3

∴ The distance between A and B = √[2² + (-3)²] = √[4 + 9] = √13

∵ √13 = 3.60555

* to approximate to the nearest tenth, we look to the

  hundredth if it's ≥ 5, then we add the tenth digit by 1

  if not we leave the tenth digit as it

∵ The hundredth is 0

∴ there is no change in the tenth digit

∴ The distance between A and B = 3.6 units ⇒ to the nearest tenth

* The distance between A and B is 3.6 units

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