Apply Pythagorean theorem to find the length between (2,7) and (-2,0). Round your answer to the nearest hundredths, if necessary.
The distance formula can be derived from the Pythagorean theorem. So, to find the distance between two points (x1, y1) and (x2, y2), we can use the formula:
distance = √((x2-x1)^2 + (y2-y1)^2)
In this case, the first point is (2,7) and the second point is (-2,0).
distance = √((-2-2)^2 + (0-7)^2)
= √((-4)^2 + (-7)^2)
= √(16 + 49)
= √65
Rounded to the nearest hundredth, the distance is approximately 8.06.