The shortest distance they have to travel to return to their starting point is 9.4 miles.
Explanation
The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.
The distance traveled north and west respectively makes the height and base of a right angled triangle.
to find the shortest distance to the starting point, the hypotenuse has to be determined.
height h=8 miles
base b=5 miles
using pythagoras theorem

The shortest distance to the starting point is 9.4 miles
3x^2 + 6x - 10 = 0
3(x^2 + 2x) - 10 = 0
3[ (x + 1)^2 - 1 ] - 10 = 0
3(x+1)^2 - 13 = 0
so the vertex is at (-1,-13)
the roots will be same distance from x = -1
that is a distance 1.08 --1 = 2.08
so other root is approximately -1 -2.08 = -3.08
the other intercept is at (-3.08,0)
20096m.
Since the radius is 80, the formula is x²×3.14.
80²=6400
6400×3.14=20096
m is the unit
Answer: 20096 meters
Answer:
y=x+20
Step-by-step explanation: