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Find the distance between the points (9, –6) and (–4, 7).
Question 19 options:

A) [tex]2\sqrt{85}[/tex]



B) [tex]3\sqrt{39}[/tex]



C) [tex]13\sqrt{2}[/tex]



D) [tex]3\sqrt{39}[/tex]

Respuesta :

The distance between the points (9, –6) and (–4, 7) will be 13√2. Then the correct option is C.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²

The points are (9, –6) and (–4, 7). Then the distance will be

D² = (-4 - 9)² + (7 + 6)²

D² = 13² + 13²

D² = 169 + 169

D² = 338

D = √338

D = 13√2

Learn more about the distance between two points here:

brainly.com/question/16410393

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