Question

Find the distance between the points given.

(-3, 2) and (9, -3)

√(61)

√(37)

Answer 1

d=13.

Explanation:

d=
`\sqrt{(x_(2)-x_(1) ) ^(2) +(y_(2)-y_(1) ) ^(2)}`

From question statement,
`x_(1) =-3` ,
`x_(2) =9`

`y_(1) =2` ,
`y_(2) =-3`

put above values in the distance formula,we obtain

d=
`\sqrt{(9-(-3))^(2)+(-3-2)^(2)}`

d=
`\sqrt{(12)^(2)+(-5)^(2)}`

d=
`√(144+25)`

d=
`√(169)`

d=13