Answer:
1) 15a - 15c + 3
2) -7n + 31 + 13m + 7p or 13m - 7n + 7p + 31
3) 44x + 6y + 3
4) 9m - 6n + 23
Step-by-step explanation:
1. Add like terms. 6a + 9a=15a. -8c - 7c=-15c
2. Add like terms. You can rearrange them in descending order based off of exponents and variables.
3. Multiply what's in parentheses first (distribute the 6). It should end up being (6y + 42x). Then you add like terms and put in descending order.
4. Distribute the (-3) to what in the parentheses. It should end up being (-6n + 15 - 3m). Then you add like terms and put the expression in descending order.
you dont use the distributive property
(8x-1)(7x-1)
then you foil it and combine like terms
Answer:
5/12 or 0.41666667 pound
Step-by-step explanation:
Set up the equation as 5/12=x/1 and cross multiply. Then you will get 12x=5. Divide both sides by 12 and then you will get 5/12.
Answer:
x = 60
largest angle = 80°
Step-by-step explanation:
the sum of all three angles in a triangle = 180°
(3x - 100) + (x - 10) + (x - 10) = 180
simplify:
5x = 300
x = 60
angles are 80°, 50°, and 50°
Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
![cos^{-1}[\frac{5}{13} ] = \alpha](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%5B%5Cfrac%7B5%7D%7B13%7D%20%20%5D%20%3D%20%5Calpha)
where, alpha is some angle that satisfies the assumed condition.
- so,

[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin
= 
[by general trigonometry formula:
]
so if
, we can get sin
from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
![2\beta = 2*sin[\beta ]*cos[\beta ]](https://tex.z-dn.net/?f=2%5Cbeta%20%20%3D%202%2Asin%5B%5Cbeta%20%5D%2Acos%5B%5Cbeta%20%5D)
[by general trigonometry formula]
- here, now
![sin[2\alpha ]=2*(+or- 12/13)*5/13\\](https://tex.z-dn.net/?f=sin%5B2%5Calpha%20%5D%3D2%2A%28%2Bor-%2012%2F13%29%2A5%2F13%5C%5C)
so, the final value can be 120/169 or -120/169.