Question

I need help on this i don't understand

Answer 1

Answer: Approximately 8.5 units

Explanation:

Substitute M(2, -2) and N(8, 4) for the coordinates in the distance formula and solve for d

`d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }`

`d = \sqrt {\left( {8-2 } \right)^2 + \left( {4-(-2)} \right)^2 }`

`d = \sqrt {\left( {6 } \right)^2 + \left( {6} \right)^2 }`

`d = \sqrt {\left( {36 } \right) + \left( {36} \right) }`

`d = \sqrt {72}`

`d \approx 8.5\hspace2 units`

Therefore the length of
`\overline{MN}` is approximately 8.5 units