Rosa works in an office building with many floors.from her office she goes down 5 floors for a meeting .then she goes up 8 floors to have lunch.after lunch she goes down 13 floors to the first floor what floor is rosa's office on

11th floor

Step-by-step explanation:

So to figure out what floor Rosa's office is in, we need to declare some variables.

x = Rosa's office

down 5 floors = -5

up 8 floors = 8

down 13 floors = - 13

One major clue to find Rosa's office is that she went down 13 floors to get to the 1st floor. So let's declare that Rosa is on the first floor.

x - 5 + 8 - 13 = 1

x - 10 = 1

x = 1 + 10

x = 11

So Rosa's office is at the 11th floor of the building.

(4, 0)

Step-by-step explanation:

When a point that lies one a segment, having endpoints and , divides the segment into the ratio of m : n,

Then, the coordinates of the point are,

Given,

Line segment EG is partitioned by point F in the ratio 1:3. Point E is at (0, 4), and point F is at (1, 3),

Let (x, y) be the coordinates of G,

By the above formula,

By comparing,

Hence, the coordinates of G are (4, 0),

Last option is correct.