Question

Find the distance between the points (0,-9) and(4,-6)

Answer 1

d=5

Explanation:

1. use the distance formula: d=
`\sqrt{(x_(2) - x_(2) )^(2) +(y_(2) -y_(1) )^(2)`

2. plug in the points: d=
`\sqrt{(0-4)^(2) +(-9+6)^(2)`

3. solve problem inside parentheses: d=
`\sqrt{(-4)^(2) +(-3)^(2)`

4. square -4 and -3: d=
`\sqrt{16+9`

5. add:d=
`\sqrt{25`

6. find square root: d=5