Find the distance between the points E(3, 7) and F(6, 5). The exact distance between the two points is .

Accepted Solution

Answer:[tex]\sqrt{13}[/tex]Step-by-step explanation:The trick here is to know the distance formula (a formula that helps you find the distance between two points). Distance formula: distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]But now that we know this, we can simply plug in our values and solve![tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\sqrt{(6-3)^2+(5-7)^2}\\\sqrt{(3)^2+(-2)^2}\\\sqrt{9+4}\\\sqrt{13}[/tex]Now we can tell from our answer that the distance between both points is [tex]\sqrt{13}[/tex]