Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and 
: True 
: True
This point lies in the solution region.
Checking for (1,5)
and 
: False 
: False
This point does not lie in the solution region.
Checking for (5,1)
and 
: False 
: True
This point does not lie in the solution region.
Checking for (-1,5)
and 
: True 
: False
This point does not lie in the solution region.
g(x) = -3x - 8
g(x) = 10
⇒ -3x - 8 = 10
⇒ -3x = 18
⇒ x= -6
g(-6) = 10 <==== answer is -6
I think you can use cosine rule if only the lines that form the <52 are equal.
Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
