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Question
part b (copy) using the same points, find the distance between them. round your answer to the nearest tenth (ex 1.2)
Step1: Identify the two - point coordinates
Let the two points be $(x_1,y_1)$ and $(x_2,y_2)$. From the graph, assume the first point is $(- 3,-5)$ and the second point is $(3,4)$.
Step2: Apply the distance formula
The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1=-3,y_1 = - 5,x_2 = 3,y_2 = 4$ into the formula: $d=\sqrt{(3-(-3))^2+(4 - (-5))^2}=\sqrt{(3 + 3)^2+(4 + 5)^2}=\sqrt{6^2+9^2}=\sqrt{36 + 81}=\sqrt{117}$.
Step3: Calculate and round
$\sqrt{117}\approx10.8$.
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$10.8$