Maria's office is located at (-7,-5) on the coordinate plane. Her home is located at (4,-6) and the supermarket is located at (-2,-6). When returning back from the
office, she first goes to the supermarket to buy some groceries, and then goes back
home. Find the total distance she traveled from her office to home.

dt = 11,09 units

Step-by-step explanation:

Distance (d1) from office (-7,-5) to supermarket (-2 , -6)

over x-axis  -7 - (-2)  = 5 units    over y-axis  -5 + (-6)  1 unit

d1 = √ (5)² + (1)²    ⇒ d1 = √26

d1 = √26

Distance d2  between supemaket (-2 , -6) and her home       (4, -6 )

over x-axis 4 - (-2)  6 units  and 0 over ya axis

d2 = 6 units  

dt = d1 + d2

dt = √26 + 12

dt = 5,09 + 6

dt = 11,09 units