Question

I need help on this i don't understand

Answer 1

Answer: Approximately 8.5 units

Step-by-step 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