Answer:
Acute angle
Step-by-step explanation:
Given that m<C =
, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C = ![\frac{11x + 85}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11x%20%2B%2085%7D%7B3%7D%20)
m<C = ![\frac{11(13) + 85}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%2813%29%20%2B%2085%7D%7B3%7D%20)
m<C = ![\frac{228}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B228%7D%7B3%7D%20)
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.
Answer:
dgfrngssfrhrfhhkthgfgtuthrruyifrhtuturhfnfbhmxvdg4jfdd
Step-by-step explanation:
xdvbbffyeurudgdifhfjdchd8wixsigfir
Answer:
4617000000
Step-by-step explanation:
10^9 = 1000000000
1000000000 x 4.6 = 4600000000
10^7 = 10000000
10000000 x 1.7 = 17000000
4600000000 + 17000000 = 4617000000
Solve the following system using elimination:
{4 x - 3 y = 8 | (equation 1){-10 y = -11 | (equation 2)
Multiply equation 2 by -1:
{4 x - 3 y = 8 | (equation 1)
{0 x+10 y = 11 | (equation 2)
Divide equation 2 by 10:
{4 x - 3 y = 8 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Add 3 × (equation 2) to equation 1:
{4 x+0 y = 113/10 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 113/40 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Collect results:
Answer: {x = 113/40
{y = 11/10
Answer: The inverse of the logarithmic function will be
![f^{-1}(x)=9^x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D9%5Ex)
Step-by-step explanation:
Since we have given that
![f(x)=\log_9(x)](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog_9%28x%29)
Replace f(x) with y.
![y=\log_9(x)](https://tex.z-dn.net/?f=y%3D%5Clog_9%28x%29)
Now, interchanging with variables:
![x=\log_9(y)](https://tex.z-dn.net/?f=x%3D%5Clog_9%28y%29)
![\implies y=9^x](https://tex.z-dn.net/?f=%5Cimplies%20y%3D9%5Ex)
Now, again put y = f(x).
So, it becomes,
![f(x)=9^x](https://tex.z-dn.net/?f=f%28x%29%3D9%5Ex)
Hence, the inverse of the logarithmic function will be
![f^{-1}(x)=9^x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D9%5Ex)