Respuesta :

The distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 10 units.

We are given the two points:

( − 4 , - 5 ) and ( 0 , 5 )

We need to find the distance between the two points.

The formula for distance is given as:

Distance = √ (x₂ - x₁)² + (y₂ - y₁)²

Substituting the values, we get that:

Distance = √ ( 0  + 4 )² + ( 5 + 5)²

Distance = √ ( 4 )² + ( 10 )²

Distance = √ 16 + 100

Distance = √ 116

Distance = 2 √29 units.

Therefore, we get that, the distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 2 √29 units.

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