Let
and
be, respectively, the length and the width of the rectangle.
If the length is 4 inches more than the width, we have

Moreover, the perimeter of a rectangle is given by

And we can substitute
to get

We know that the perimeter is 34 inches:

Which implies

Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.
The answer is 1.067. Hope it's not too late.
Y-2=-4/3(x+6)
y-2=-4/3x-24/3
y=-4/3x-24/3+2
y=-4/3x-24/3+6/3
y=-4/3x-18/3
y=-4/3x-6
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:
.