Answer:
16.23
Step-by-step explanation:
Use cosine to solve.
cos = adjacent / hypotenuse
cos 52 = 10 / x
(x = AB)
(cos 52)(x) = 10
x = 10 / (cos52)
x = 10 / 0.616
x = 16.2338
AB = 16.23
Answer:
-4
Step-by-step explanation:
<u>Answer:
</u>
The factor of ![9 x^{4}+12 x^{3}+21 x^{2} \text { is } 3 x^{2}\left(3 x^{2}+4 x+7\right)](https://tex.z-dn.net/?f=9%20x%5E%7B4%7D%2B12%20x%5E%7B3%7D%2B21%20x%5E%7B2%7D%20%5Ctext%20%7B%20is%20%7D%203%20x%5E%7B2%7D%5Cleft%283%20x%5E%7B2%7D%2B4%20x%2B7%5Cright%29)
<u>Solution:
</u>
From question given that the equation is
![9 x^{4}+12 x^{3}+21 x^{2}](https://tex.z-dn.net/?f=9%20x%5E%7B4%7D%2B12%20x%5E%7B3%7D%2B21%20x%5E%7B2%7D)
We have to find the factors of the given equation.
By taking 3 as a common term in above expression,
![=3\left(3 x^{4}+4 x^{3}+7 x^{2}\right)](https://tex.z-dn.net/?f=%3D3%5Cleft%283%20x%5E%7B4%7D%2B4%20x%5E%7B3%7D%2B7%20x%5E%7B2%7D%5Cright%29)
By taking “x” as a common term in above expression, we get equation as
![=3 x\left(3 x^{3}+4 x^{2}+7 x\right)](https://tex.z-dn.net/?f=%3D3%20x%5Cleft%283%20x%5E%7B3%7D%2B4%20x%5E%7B2%7D%2B7%20x%5Cright%29)
Again taking “x” as a common term in above expression, we get
![=3 x^{2}\left(3 x^{2}+4 x+7\right)](https://tex.z-dn.net/?f=%3D3%20x%5E%7B2%7D%5Cleft%283%20x%5E%7B2%7D%2B4%20x%2B7%5Cright%29)
cannot be factorized.(imaginary roots)
Hence factor of ![9 x^{4}+12 x^{3}+21 x^{2} \text { is } 3 x^{2}\left(3 x^{2}+4 x+7\right)](https://tex.z-dn.net/?f=9%20x%5E%7B4%7D%2B12%20x%5E%7B3%7D%2B21%20x%5E%7B2%7D%20%5Ctext%20%7B%20is%20%7D%203%20x%5E%7B2%7D%5Cleft%283%20x%5E%7B2%7D%2B4%20x%2B7%5Cright%29)
Answer:
![\frac{2}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B9%7D)
Step-by-step explanation:
The average rate of change of a function
on the interval
is
.
So the average rate of change of our function
here on the interval
is
.
We need to figure out both
and
.
corresponds to the value in the 2nd column when the first column value is
. This number is 4.
.
corresponds to the value in the 2nd column when the first column value is
. This number is 2.
Let's go back to computing the average rate of change of
on
:
.
The answer is
.
Answer:
A. is correct
Step-by-step explanation:
Divide both sides by 11