Answer:
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
