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24. find the distance from r to s on the graph. round to the nearest te…

Question

  1. find the distance from r to s on the graph. round to the nearest tenth.

Explanation:

Step1: Identify coordinates

Assume \(R(-2, 3)\) and \(S(1,-1)\) by counting grid - squares.

Step2: Apply distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1=-2,y_1 = 3,x_2 = 1,y_2=-1\). Then \(d=\sqrt{(1-(-2))^2+((-1)-3)^2}=\sqrt{(1 + 2)^2+(-4)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9 + 16}=\sqrt{25}=5\).

Answer:

5