Answer:
x= ![\frac{135}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B135%7D%7B7%7D)
Step-by-step explanation:
1. ![-\frac{7}{3} (x-3)=-52](https://tex.z-dn.net/?f=-%5Cfrac%7B7%7D%7B3%7D%20%28x-3%29%3D-52)
2. combine -7/3(x - 3)
= ![-\frac{7}{3}x-7 = -52](https://tex.z-dn.net/?f=-%5Cfrac%7B7%7D%7B3%7Dx-7%20%3D%20-52)
3. Do combine like terms on both sides
= -52 + -7 = -45
4. left with, ![-\frac{7}{3}x = -45](https://tex.z-dn.net/?f=-%5Cfrac%7B7%7D%7B3%7Dx%20%3D%20-45)
5. divide -45 by -7/3
6. left with, ![x = \frac{135}{7}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B135%7D%7B7%7D)
Answer:
Nope
Step-by-step explanation:
The reason for this is that if it was rotated 180º, it would mean that the triangle was in QIII.
***And have a nice winter break!!!! ;***
Answer:
f⁻¹(1/5) = 2
Explanation:
If f(x) = (2x -3)/5
To find inverse of f(x), make x the subject.
![f(x) = \dfrac{2x - 3}{5}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdfrac%7B2x%20-%203%7D%7B5%7D)
![5 f(x) = 2x - 3](https://tex.z-dn.net/?f=5%20f%28x%29%20%3D%202x%20-%203)
![2x = 5 f(x) + 3](https://tex.z-dn.net/?f=2x%20%3D%205%20f%28x%29%20%2B%203)
![x = \dfrac{5 f(x) + 3}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B5%20f%28x%29%20%2B%203%7D%7B2%7D)
Then,
![f^{-1}(x) = \dfrac{5x+3}{2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cdfrac%7B5x%2B3%7D%7B2%7D)
To find f⁻¹(1/5), simplify insert [x = 1/5 or 0.2]
![f^{-1}(0.2) = \dfrac{5(0.2)+3}{2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%280.2%29%20%3D%20%5Cdfrac%7B5%280.2%29%2B3%7D%7B2%7D)
which yields
![f^{-1}(0.2) = 2](https://tex.z-dn.net/?f=f%5E%7B-1%7D%280.2%29%20%3D%202)
Answer:
120 mL
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
Use Pythagorean theorem!
a^2+b^2=c^2
6^2+8^2=c^2
64+36=c^2
100=c^2
Take the square root of 100 and you get c=10