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Does anyone know if this is right? I’ll mark your answer as brainliest if you explain it to me.

Does Anyone Know If This Is Right Ill Mark Your Answer As Brainliest If You Explain It To Me class=

Sagot :

Answer:

Step-by-step explanation:

the difference between x is 6 and the difference between y is 9

a^2+b^2=c^2

6=a b=9
36+81=c^2

c= √117

Answer: [tex]3\sqrt{13}[/tex] is correct

Work Shown:

[tex](x_1,y_1) = (-5,7) \text{ and } (x_2,y_2) = (1,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-5-1)^2 + (7-(-2))^2}\\\\d = \sqrt{(-5-1)^2 + (7+2)^2}\\\\d = \sqrt{(-6)^2 + (9)^2}\\\\d = \sqrt{36 + 81}\\\\d = \sqrt{117}\\\\d = \sqrt{9*13}\\\\d = \sqrt{9}*\sqrt{13}\\\\d = 3\sqrt{13}\\\\d \approx 10.81665\\\\[/tex]