If
, then you have
By the intermediate value theorem, there will be some number
such that
(i.e.
will have a root in
) if you can guarantee that
or
.
Since the coefficients
are all positive, then you know right away that
, so you need to have
in order for there to be such a
.
This means you need to have
which means (A) must be the answer.
<h3>
Answer: 10.1 cm approximately</h3>
=====================================================
Explanation:
The double tickmarks show that segments DE and EB are the same length.
The diagram shows that DB = 16 cm long
We'll use these facts to find DE
DE+EB = DB
DE+DE = DB
2*DE = DB
DE = DB/2
DE = 16/2
DE = 8
-------------
Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9
Use the pythagorean theorem to find x
a^2+b^2 = c^2
8^2+x^2 = 9^2
64+x^2 = 81
x^2 = 81 - 64
x^2 = 17
x = sqrt(17)
That makes EC to be exactly sqrt(17) units long.
If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6
---------------
So,
AC = AE+EC
AC = 6 + sqrt(17)
AC = 10.1231056256177
AC = 10.1 cm approximately
Answer:
Actually it would be 87,100,000 in standard form.
Step-by-step explanation:
Recall that a square is just a rectangle with all sides equal.
and the area of a rectangle is just length * width.
All of the surfaces are rectangular
