A rectangle has a length of x + 2, a width of 7, and a perimeter of 32. The value of x is a0.
1 answer:
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Answer:
<h2>4 p.m.</h2>Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by .
The remaining time would be , becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
Therefore, the actual time is 4 p.m.
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:
.