Answer:
2√34 ≈ 11.66 units
Step-by-step explanation:
The distance between two points is given by the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
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For your points, the distance is ...
d = √((3 -(-7))² +(0 -6)²) = √(10² +(-6)²) = √(100 +36) = 2√34
The distance between the points is ...
2√34 ≈ 11.66 . . . . units
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Additional comment
The distance formula is based on the Pythagorean theorem. It models the distance as the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates of the points.
