An airport offers two shuttles that run on different schedules. if both shuttles leave the airport at 4: 00 p. m., at what time will they next leave the airport together? shuttle a leaves every 6min shuttle b leaves every 9 min

4:18 P.M.

Step-by-step explanation:

An airport offers two shuttles that run on different schedules.

Shuttle A leaves every 6 minutes shuttle B leaves every 9 minutes.

If both shuttles leave the airport at 4:00 P.M.

We will calculate the time of next leave the airport together.

First we will calculate Lowest Common Multiple (LCM) of 6 and 9.

Factors of 6 = 1 × 2 × 3

Factors of 9 =  1 × 3 × 3

LCM = 1 × 3 × 2 × 3 = 18

Therefore, after 18 minutes to 4:00 P.M. that is 4:18 P.M. they next leave the airport together.

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

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.