Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown below. Can you help him to find the total area of floor that needs to be covered?

*diagram of floor plan is attached below

30m²

Step-by-step Explanation:

From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.

To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.

Area of rectangle = L*B

For the hall way, L = 3.2m, B = 1.5m

Area of hall way = 3.2*1.5 = 4.8m²

For the living room, L = 6m, B = 4.2m

Area of Living room = 6*4.2 = 25.2m²

Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²

this question relies purely on our observation of the graph and a knowledge of the behaviour of a graph of a hyperbola.

now, what we should realise is that there are two asymptotes - one at x = 0 and one at y = 0. what this means is that the graph will gradually approach, but never touch, these two lines. so, as x becomes more positive (ie. 'a very large positive number'), it will get closer to the line y = 0 (ie. the x-axis) - which means that the value of f(x) will gradually become smaller and closer to 0 - but will never reach it.

we can also observe this from the right half of the graph, where the graph gradually lowers closer and closer to the x-axis as x increases. what is important to note however is that it will never actually touch the x-axis (ie. f(x) will not equal 0) since there is an asymptote there. given this, we can see that option d, f(x) is a very small positive number, would be correct.

which expression represents the approximate length of bc?

step-by-step explanation: