Final answer:
To find the distance between the points (-7, 7) and (6, -8), apply the distance formula and calculate the square root of the sum of the squares of the differences between the coordinates. The calculated distance is approximately 19.85 when rounded to two decimal places.
Step-by-step explanation:
The distance between the points (-7, 7) and (6, -8) can be calculated using the distance formula which is derived from the Pythagorean theorem. The formula is as follows: Distance = √[(x2 - x1)² + (y2 - y1)²], where (x1, y1) and (x2, y2) are the coordinates of the two points. By substituting the given points into the formula we get: Distance = √[(6 - (-7))² + (-8 - 7)²] = √[(6 + 7)² + (-15)²] = √[13² + 225] = √[169 + 225] = √[394]. The approximate distance is then √[394], which when calculated gives us a value of 19.85, rounded to two decimal places.