Tim and holly left base camo and hiked 6 kilometers north, and turned due west and hiked another 8 kilometers. They stopped and ate lunch. After lunch, they returned to base camp by hiking in a straight line. How many kilometers did they hike after lunch.

10 km

Step-by-step explanation:

The Angle formed by their travel is a right angled triangle (check attached picture) , hence we can apply Pythagoras rule :

Hypotenus = sqrt(opposite² + Adjacent²)

Hypotenus = distance hiked after lunch :

D = sqrt(6² + 8²)

D = sqrt(36 + 64)

D = sqrt(100)

D = 10 km

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2