Answer:
it is G.33
brainliest plz
Step-by-step explanation:
21.W hich value of y makes the following equatoin true?
answer:B
9514 1404 393
Answer:
a = 6, b = 12, c = 6, d = 6√3
Step-by-step explanation:
The two triangles are the "special" triangles.
The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.
The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.
Then ...
c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6
and ...
a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)
The lengths are ...
a = 6, b = 12, c = 6, d = 6√3
Answer:
![f_{avg}=e-1](https://tex.z-dn.net/?f=f_%7Bavg%7D%3De-1)
Step-by-step explanation:
We are given that a function
![f(x)=e^{\frac{x}{7}}](https://tex.z-dn.net/?f=f%28x%29%3De%5E%7B%5Cfrac%7Bx%7D%7B7%7D%7D)
We have to find the average value of function on the given interval [0,7]
Average value of function on interval [a,b] is given by
![\frac{1}{b-a}\int_{a}^{b}f(x)dx](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bb-a%7D%5Cint_%7Ba%7D%5E%7Bb%7Df%28x%29dx)
Using the formula
![f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7B7-0%7D%5Cint_%7B0%7D%5E%7B7%7De%5E%7B%5Cfrac%7Bx%7D%7B7%7D%7D%20dx)
![f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7B7%7D%5Be%5E%7B%5Cfrac%7Bx%7D%7B7%7D%7D%5Ctimes%207%29%5D%5E%7B7%7D_%7B0%7D)
By using the formula
![\int e^{ax}=\frac{e^{ax}}{a}](https://tex.z-dn.net/?f=%5Cint%20e%5E%7Bax%7D%3D%5Cfrac%7Be%5E%7Bax%7D%7D%7Ba%7D)
![f_{avg}=(e-e^0)=e-1](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%28e-e%5E0%29%3De-1)
Because ![e^0=1](https://tex.z-dn.net/?f=e%5E0%3D1)
![f_{avg}=e-1](https://tex.z-dn.net/?f=f_%7Bavg%7D%3De-1)
Hence, the average value of function on interval [0,7]
![f_{avg}=e-1](https://tex.z-dn.net/?f=f_%7Bavg%7D%3De-1)
A is a line that intersects two coplanar lines at two distinct points. The diagram shows the eight angles formed by <span>a transversal t and two lines / and m.
</span>A transversal that intersects two lines forms eight angles;Corresponding angles,Alternate exterior angles, Alternate interior angles,Consecutive exterior angles, Consecutive interior angles.
Hope it helps