Pls help ASAP just number 11 and show work

Length of route that passes the mall= 11 miles

Length of route that passes the theater= 13 miles

Step-by-step explanation:

route to school that passes the mall (highlighted in red)

= (x +1) +(x +2)

= 2x +3

route to school that passes the theater (in yellow)

= (2x +1) +x

= 3x +1

Since the first is 2 miles shorter,

2x +3= 3x +1 -2

Simplify:

2x +3= 3x -1

Bring constants to 1 side, x terms to the other:

3x -2x= 3 +1

x= 4

Substitute x=4 to find the length of each route:

Length of the route that passes the mall

= 2x +3

= 2(4) +3

= 8 +3

= 11 miles

Length of route that passes the theater

= 3x +1

= 3(4) +1

= 12 +1

= 13 miles

Alternatively, length of route that passes the theater

= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: