11 pts. the map shows the location of the airport and a warehouse in a city. though not displayed on the map, there is also a factory 112 miles due north of the warehouse.  a truck traveled from the warehouse to the airport and then to the factory. what is the total number of miles the truck traveled? 112 154 224 252

The factory is 112 miles North of the warehouse. North and South is the Y axis.

The warehouse is located at Y -56, add 112 to that and Y = positive 56, so the factory is located at Y = 56.

Using the distance formula we can find the distance between the warehouse and the airport:

Distance = SQRT( (x2-x1)^2 + (Y2-y1)^2)

Ware house X = 42, Y = -56

Airport X = -42, Y = 56

Distance = SQRT (( -42 - 42)^2 + (56 - -56)^2) = 140 miles

The factory is on X 42, Y 56, which is the same Y value as the airport, so the distance between the airport and the factory is the change in X

-42 to 0 = 42 and 0 to 42 = 42, 42+ 42 = 84 miles.

Total distance = 140 + 84 = 224 miles.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

the answer is c

step-by-step explanation: i took a test with this question on it