Check the picture below
now, <span>26°35' is just 26bdegrees and 35 minutes
your calculator most likely will have a button [ </span><span>° ' " ] to enter degrees and minutes and seconds
there are 60 minutes in 1 degree and 60 seconds in 1 minute
so.. you could also just convert the 35' to 35/60 degrees
so </span>
![\bf 26^o35'\implies 26+\frac{35}{60}\implies \cfrac{1595}{60}\iff \cfrac{319}{12} \\\\\\ tan(26^o35')\iff tan\left[ \left( \cfrac{391}{12} \right)^o \right]](https://tex.z-dn.net/?f=%5Cbf%2026%5Eo35%27%5Cimplies%2026%2B%5Cfrac%7B35%7D%7B60%7D%5Cimplies%20%5Ccfrac%7B1595%7D%7B60%7D%5Ciff%20%5Ccfrac%7B319%7D%7B12%7D%0A%5C%5C%5C%5C%5C%5C%0Atan%2826%5Eo35%27%29%5Ciff%20tan%5Cleft%5B%20%5Cleft%28%20%5Ccfrac%7B391%7D%7B12%7D%20%5Cright%29%5Eo%20%5Cright%5D)
now, the angle is in degrees, thus, make sure your calculator is in Degree mode
Answer:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Step-by-step explanation:
Given

Required
Factor
Group into 2
![[9c^3 - 12c^2] - [18c + 24]](https://tex.z-dn.net/?f=%5B9c%5E3%20-%2012c%5E2%5D%20-%20%5B18c%20%2B%2024%5D)
Factorize each group
![3c^2[3c - 4] - 6[3c - 4]](https://tex.z-dn.net/?f=3c%5E2%5B3c%20-%204%5D%20-%206%5B3c%20-%204%5D)
Factor out 3c - 4
![[3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Hence:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
1/4 is the shortest all you have to do is multiply 2/5 by 4, 3/10 by 2, and 1/4 by 5
Comment if you want me to give you the step by step thank you
Answer:
D
Step-by-step explanation:
To obtain f(g(x)) substitute x = g(x) into f(x), that is
f(10 - 5x)
= (10 - 5x)² + 5 ← expand (10 - 5x)²
= 100 - 50x - 50x + 25x² + 5 ← collect like terms
= 25x² - 100x + 105 → D