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Answer: The distance [tex]\sqrt{53}[/tex]  which reduces to 7.28

Step-by-step explanation:

To find the distance between these two coordinates, find the difference of the y coordinates and x coordinates and square them then add them together to find their square root.

The y coordinates are 1 and -1.

The x coordinates are -5 and 2.

So -1-1 = -2

-5 - 2= - 7   Find their absolute values.

The absolute value of -2 is 2  and the absolute value of -7 is 7.

2^2 + 7^2 = d^2     where d is the distance.

4 +49  = d^2

53=  d^2  

d= [tex]\sqrt{53}[/tex]  

d= 7.28