First, draw a diagram to visualize the situation:
As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.
Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.
Answer:
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Step-by-step explanation:
For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number.
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Answer:
x=13
Step-by-step explanation:
Q is the midpoint of PR
PQ + QR = PR
PQ= QR
PQ+QR = PR
QF + QR = PR
2QR = PR
2*43 = 9x-31
86 = 9x-31
Add 31 to each side
86+31 = 9x-31+31
117 = 9x
Divide each side by 9
117/9 = 9x/9
13 =x