kait561 kait561
  • 11-10-2019
  • Mathematics
contestada

What is the distance between the points (4, 10) and (-3, -14) on the coordinate
plane?

Respuesta :

marcthemathtutor
marcthemathtutor marcthemathtutor
  • 11-10-2019

Answer:

25 units

Step-by-step explanation:

(refer to attached)

distance between 2 points is given by

D =  √[ (x2-x1)² + (y2-y1)²]

in our case, let,

y1=-14, x1=-3, x2=4, y2= 10

D =  √[ ( 4 - (-3) )² + ( 10 + 14 )²]

D =  √[ ( 4 + 3 )² + ( 10 + 14 )²]

D =  √[ ( 7 )² + ( 24 )²]

D =  √[ 49 + 576]

D =  √625

D = 25

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