The location of four buildings are on a coordinate grid are as follows: bank at (3, −3) post office at (−2, −3) dry cleaner at (−2, 6) pizza shop at (3, 6) liza begins at the bank and then walks to the post office, then to the dry cleaner, and then to the pizza shop. then she walks to the bank again, where she left her cell phone. the path between each building is a straight line. one unit on the coordinate grid equals 400 yards. what is the total distance liza walked?

11,200 yards.

Step-by-step explanation:

Distance between two points is;

Distance = √(x²+y²)

Distance between Bank and post office = √(5²+0)

                                                                     = 5

Distance between post office and dry cleaner = √(0+9²)

                                                                              = 9

Distance between Dry cleaner and pizza shop = √(0+5²)

                                                                                = 5

Distance between Bank and pizza shop  = √(9²-0)

                                                                    = 9

Total distance = 5+9+5+9

                       = 28 units

1 unit ⇒ 400 yards

28 units ⇒ (28×400)

              ⇒ 11,200 Units

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)