Subtract 5 from both sides.
![8n + 4 = -n](https://tex.z-dn.net/?f=8n%20%2B%204%20%3D%20-n)
Subtract 8n from both sides.
![4 = -9n](https://tex.z-dn.net/?f=4%20%3D%20-9n)
Divide both sides by -9 to solve for n.
![- \frac{4}{9} = n](https://tex.z-dn.net/?f=-%20%5Cfrac%7B4%7D%7B9%7D%20%3D%20n)
The value of n is
-4/9.
Since Angle QPS is a straight angle, it equals 180 degrees.
Angles QPR and RPS equal QPS.
Angle QPR + Angle RPS = QPS
(7x-4) + (9x-40) = 180
x=14
Answer:
question 1: answer is 4
question 2: answer is 1
Step-by-step explanation:
Answer:
![8^{-2}](https://tex.z-dn.net/?f=8%5E%7B-2%7D)
Step-by-step explanation:
![2^{-2} = 1/4](https://tex.z-dn.net/?f=2%5E%7B-2%7D%20%3D%201%2F4)
So:
![8^{-2} = 1/8*1/8](https://tex.z-dn.net/?f=8%5E%7B-2%7D%20%3D%201%2F8%2A1%2F8)
This should be recognized as the difference of perfect squares which is of the form:
(a^2-b^2) and the difference of squares always factors to:
(a-b)(a+b) in this case:
(3x-8)(3x+8)