what is the distance between the points shown on the coordinate plane below? provide an answer accurate to…

Explanation:

Step1: Identify the coordinates

The two points are (0, 4) and (6, 0).

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 = 0,y_1 = 4,x_2 = 6,y_2 = 0). So (d=\sqrt{(6 - 0)^2+(0 - 4)^2}=\sqrt{6^{2}+(- 4)^{2}}=\sqrt{36 + 16}=\sqrt{52}).

Step3: Simplify and round

(\sqrt{52}\approx7.2)

Answer:

7.2