Question

Find the distance between the two points.
(3,-9) and (-93,-37)

Answer 1

d(A,B)=100

Explanation:

The distance between two points A(
`x_A,y_A`) and B=(
`x_B,y_B`) is:

d(A,B)=
`√((x_B-x_A)^2+(y_B-y_A)^2)`

In this case:

`x_B = - 93\\x_A = 3\\y_B = -37\\y_A = -9`

In this case:

`d(A,B)=√(( - 93 -3)^2+( - 37 - (-9))^2) =\\=√(( - 96)^2+(-28)^2) =\\=√(9.216+784) \\=√(10000)=\\=√(10^4) =\\=100`