What is the distance between point A and point B? Round your answer to the nearest tenth.
Accepted Solution
A:
Answer:The distance between A and B is 3.6 units ⇒ 2nd answerStep-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