What is the distance between (-5,8) and (4,6)

Accepted Solution

Answer:[tex]\sqrt{85}[/tex] (about 9.2195) unitsStep-by-step explanation:The formula for the distance between two points is: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]Substitute the values. [tex]\sqrt{(-5 - 4)^2 + (8 - 6)^2}[/tex]Subtract. [tex]\sqrt{(-9)^2 + 2^2}[/tex]Solve the exponents. [tex]\sqrt{81 + 4}[/tex]Add. [tex]\sqrt{85}[/tex]This is as simple as the solution can get without estimating, but we can use a calculator to estimate that the distance is about 9.2195 units.