Guest house is 15m long and 12m wide. what is the diagonal of the house?

The diagonal of the house is approximately 19.21m

Step-by-step explanation:

Taking the shape of the house as a rectangular building, if length l is 15m and width w is 12m, then to find the diagonal, we can relate the shape now formed to a right angle triangle as the diagonal line divides the rectangular house into 2 right angled triangle.

We can now say the diagonal line is d.

To solve the question, we can consider pythagoras theorem which is

+ =

The length l and width w can be taking as opposite and adjacent a and b respectively, while diagonal d can be taking as hypothenus c

+ =

Substitute for length 15m and width 12m, we will have

+ =

225 + 144 =

369 =  

d =

d = 19.2094

d ≈ 19.21m

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

dwe

step-by-step explanation:

ewd