Question

Find the distance between the two points below. If your answer is not aninteger then type it as a decimal rounded to the nearest hundredth.(-4,1) and (3,-4)The distance between the two points is

Answer 1

The distance between two points is defined as follows:

`d(a,b)=\sqrt[]{(x_2-x_1)^2-(y_2-y_1)^2}`

Replacing the points in the equation:

`\begin{gathered} a\to(-4,1) \\ b\to(3,-4) \\ d(a,b)=\sqrt[]{(3_{}-(-4))^2-(-4_{}-1_{})^2} \\ d(a,b)=\sqrt[]{(7)^2-(-5_{})^2} \\ d(a,b)=\sqrt[]{49-25} \\ d(a,b)=\sqrt[]{24} \\ d(a,b)=4.8989 \end{gathered}`

The distance between the two points is 4.89 aprox 4.9