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Find EF given E(-7, -2) and F(11, 3). Round your answer to the nearest thousandth (3 decimal places).

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Answer:

18.682

Explanation:

Given that :

E = (-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

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