Question

What is the length of MN¯¯¯¯¯¯¯ ? Round to the nearest tenth of a unit.

Answer 1

Answer: 8.5

Step-by-step explanation:

Answer 2

Answer

Find out the length of MN .

To prove

Formula

$Distance\ formula = \sqrt{{(x_{2} - x_{1})^{2} +{(y_{2} - y_{1})^{2} }$

Two points be M (2, -2) and N(8,4) .

Put in the formula

$Distance\ formula = \sqrt{{(8 - 2)^{2} +{(4 - (-2))^{2} }$

Solving the above

$Distance\ formula = \sqrt{{6^{2} +{6^{2} }$

$Distance\ formula = \sqrt{36+36}$

$Distance\ formula = \sqrt{2\times36}$

$Distance\ formula = \sqrt{72}$

Distance formula = 8.5 unit (approx)

Therefore the length of MN is  8.5 unit (approx) .