Question

Use the distance for mula to find the distance between a. (0,1) and (-3,-9)b. (10,-1) and (2,-5)

Answer 1

a)

the two points are,

(0,1) and (-3,-9)

thus the distance is,

`d=\sqrt[]{(-9-1)^2+(-3-0)^2}`
`\begin{gathered} d=\sqrt[]{(-10)^2+(-3)^2} \\ d=\sqrt[]{100+9} \\ d=\sqrt[]{109} \\ \end{gathered}`

the two points are,

(10,-1) & (2,-5)

thus the distance is

`d=\sqrt[]{(-5-(-1))^2+(2-10)^2}`
`\begin{gathered} d=\sqrt[]{(-4)^2+(-8)^2} \\ d=\sqrt[]{16+64} \\ d=4\sqrt[]{5} \end{gathered}`