Answer:
The first box should have the formula/quantity should be 100/12 (division) and equal to 8 ⅓. The second box formula/quantity should be always multiply with 12 along with how many feet there is.
Distance = sqrt(5- -6)^2 + (3- -6)^2)
= sqrt (121 + 81)
= sqrt 202
= 14.21 to nearest hundredth
Answer: ![x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cpm%20k%5Cfrac%7B%5Cpi%7D%7B2%7D%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2Ck%3D%5C%7B0%2C1%2C2%2C...%5C%7D)
Step by step:
![1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}](https://tex.z-dn.net/?f=1%20%2B%205%5Csin%5E2x%3D%207%5Csin%5E2x%5C%5C%5Csin%5E2%20x%5Crightarrow%20z%5C%5C1%20%2B%205z%20%3D%207z%5C%5C2z%20%3D%201%5C%5Cz%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Cimplies%20%5Csin%5E2%20x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%7C%5Csin%20x%7C%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5C%5C%5Csin%20x%20%3D%20%5Cpm%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cpm%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5C%5C%5Cimplies%20x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cpm%20k%5Cfrac%7B%5Cpi%7D%7B2%7D%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2Ck%3D%5C%7B0%2C1%2C2%2C...%5C%7D)
(Used a table of common angles)
Answer:
6x^2 - 3x
![6x^2-3x](https://tex.z-dn.net/?f=6x%5E2-3x)
Step-by-step explanation:
3x (2x-1)
multiply 3x by 2x -> 6x^2
multiply 3x by -1 -> -3x
Answer:
the answer is 5
Step-by-step explanation:
because 5+3 is 8 and 3+0 is 3 so you need 5 so it can be equal.
hoped i helped