Question

find the distance between the points x and y shown in the figure. (√5) units (√41) units (√197) units (√221) units

Explanation:

Step1: Determine coordinates

Let the black - dot be \(A(x_1,y_1)\) and the cross - dot be \(B(x_2,y_2)\). From the graph, \(A(1, - 3)\) and \(B(5,2)\)

Step2: Use 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 \(x_1 = 1,y_1=-3,x_2 = 5,y_2 = 2\) into the formula:

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Answer:

C. ($\sqrt{41}$) units