Answer :
The length of segment MN rounded to the nearest tenth is 6.7 units.
What is the length of segment MN?
The distance formula used in finding the distance between two points is expressed as;
D = √( (x₂-x₁)² + (y₂-y₁)² )
Given the data in the question;
Point N(-1, 2)
- x₁ = -1
- y₁ = 2
Point M(-4,-4)
- x₂ = -4
- y₂ = -4
Plug these values into the above equation.
D = √( (x₂-x₁)² + (y₂-y₁)² )
D = √( ( (-4) - (-1))² + ( (-4) - 2)² )
D = √( ( -4 + 1 )² + ( -4 - 2)² )
D = √( ( -3 )² + ( -6 )² )
D = √( 9 + 36 )
D = √45
D = 3√5
D = 6.7 units
Therefore, the length of segment MN rounded to the nearest tenth is 6.7 units.
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