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:
.
D varies directly with t means
d=kt
105=3k
divide both sids by 3
35=k
d=35t
when t=8
d=35(8)
d=280
B
The ratio of x:y:z = 20:8:11
Total unit = 20+8+11 = 39
Value of 1 unit ratio = 78/39 = 2
So, the water in container X, 20(2) = 40 liters
Your answer is 40 liters
Answer:
5.41
Step-by-step explanation:
