Q:

Find the distance between the points. (-4, -2) and (5, 2) ^97 2^14 2^5 ^5

Accepted Solution

A:
Answer:The distance between 2 points is √97 or 9.84Step-by-step explanation:The distance between two points can be found using distance formula:[tex]d(x_{1},x_{2})=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2Putting values:[tex]d(x_{1},x_{2})=\sqrt{(5-(-4))^2+(2-(-2))^2}\\d(x_{1},x_{2})=\sqrt{(5+4)^2+(2+2)^2}\\d(x_{1},x_{2})=\sqrt{(9)^2+(4)^2} \\d(x_{1},x_{2})=\sqrt{81+16}\\d(x_{1},x_{2})=\sqrt{97}[/tex]So, the distance between 2 points is √97 or 9.84