Question

unit 1 exam review
find the distance between the points r and t.

Explanation:

Step1: Identify coordinates

Assume \(R=(x_1,y_1)\) and \(T=(x_2,y_2)\). From the grid, if we assume \(R = (- 4,-2)\) and \(T=(5,3)\).

Step2: Apply distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Substitute \(x_1=-4,y_1 = - 2,x_2=5,y_2 = 3\) into the formula: \(d=\sqrt{(5-(-4))^2+(3 - (-2))^2}=\sqrt{(5 + 4)^2+(3 + 2)^2}=\sqrt{9^2+5^2}=\sqrt{81 + 25}=\sqrt{106}\).

Answer:

\(\sqrt{106}\)