Answer:
THE VALUE OF X = 3 .
Step-by-step explanation:
From the Δ RQP and Δ TSP ;
⇒ ∠ TPS = ∠ RPQ ( since both are common angle )
⇒ RQ ≈ TS ( parallel lines )
⇒ ∠ PRQ = ∠ PST ( Corresponding angle )
∴ Δ RQP ≅ Δ TSP ( BY ASA RULE )
Now ,
⇒ X = 3
The least common multiple of 4 and 7 is 28 I think sorry I haven't been in school for a week
There are 2 cows and 1 chicken how many animals are there?
3 animals
Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
