Respuesta :

Answer:

the number that goes beneath the radical symbol is 20

Step-by-step explanation:

distance formula:

[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

use the two coordinates given in the graph

i) (-3,3)

x1 = -3

y1 = 3

ii) (-1,-1)

x2 = -1

y2 = -1

substitute the values into the formula

[tex] \sqrt{( - 1 - ( - 3)) {}^{2} + ( - 1 - 3) {}^{2} } [/tex]

[tex] \sqrt{( - 1 + 3) {}^{2} + ( - 1 - 3) {}^{2} } [/tex]

[tex] \sqrt{ {2}^{2} + ( - 4) {}^{2} }[/tex]

[tex] \sqrt{ 4 + 16} [/tex]

[tex] \sqrt{20} [/tex]

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