Question

A straight jogging path runs from (-6, -9) to (5, 4) on the map of the city park. Each unit on the map represents half of a mile. Approximately how long is the jogging path? Enter the correct value to the nearest tenth in the box.

Answer 1

The length of the jogging path is approximately 8.515 miles.

Step-by-step explanation:

The jogging path runs from (-6, -9) to (5, 4) on the map, representing a straight line. To find the length of the path, we need to calculate the distance between these two points. We can use the distance formula, which is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates (-6, -9) and (5, 4), we can substitute these values into the formula:

d = sqrt((5 - (-6))^2 + (4 - (-9))^2)

Simplifying:

d = sqrt(11^2 + 13^2)

d = sqrt(121 + 169)

d = sqrt(290)

Using a calculator, we find that the square root of 290 is approximately 17.03. Since each unit on the map represents half a mile, the length of the jogging path is approximately 17.03 * 0.5 = 8.515 miles, rounded to the nearest tenth.