<span>6n – 11 > 31
</span><span>6n > 31 + 11
</span>6n > 42
n > 42/6
n > 7
or 
divide both sides by 2
sinΘ = - 
Since the sin ratio is negative then Θ is in third / fourth quadrants
Θ =
(
) =
related acute angle
Θ = ( π +
) = 
or Θ = ( 2π -
) = 
Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
<em>From the above, the answer to the question is choices </em><em>B, C, and D</em>
Answer:
The TV set is 26in by 12in, with the high being 12in.
Step-by-step explanation:
Length=26
Height =Length-14
Height=26-14
Height=12
A. The two listed added up will be 180 degrees.
5x - 57 + 3x + 5 = 180
8x - 52 = 180
8x - 52 + 52 = 180 + 52
8x = 232
x = 29
B. The two listed added up will be 180 degrees.
2x + 4x + 150 = 180
6x + 150 = 180
6x + 150 - 150 = 180 - 150
6x = 30
x= 5
Can I get brainlyist