Let one of the number be x
The other number will be x + 2
x + x + 2 = 15044
2x + 2 = 15044
2x = 15044 -2
2x = 15042
x = 7521
x + 2 = 7521 + 2 = 7523
The office number is 7521 and 7523
Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.
Answer:
see below
Step-by-step explanation:
Each segment in ΔA"B"C" is 3 times the length of the corresponding segment in ΔABC. This is due to the dilation by a scale factor of 3.
Then you have ...

The latter relation matches the second choice.
Answer:
3rd option: f(x)⇒ +∞ as x⇒-∞ and f(x)⇒ -∞ as x⇒ +∞
Step-by-step explanation:
This is a negative cubic graph, therefore:
Looking at the graph, as x goes towards negative infinity, the y values go toward positive infinity.
On the other hand, as x goes towards positive infinity, the y values go towards negative infinity.