Answer:
Solving the expression
we get: 
Step-by-step explanation:
We need to solve the expression: 
This is a quadratic expression and it can be solved using quadratic formula
Solving:

we can write it as:

The quadratic formula is: 
where a = 3, b = -2 and c= 1
Putting values and solving:

So, solving the expression
we get: 
Answer:
The triangles are similar
Step-by-step explanation:
We are given and two angles so by default we know the third angle. We know the three angles are the same, so the triangles are similar by AAA. We do not about conqruency without a side length.
Answer:
See Below.
Step-by-step explanation:
We want to verify:

We will utilize the following identities:

And:

So, by substitution, we acquire:

Distribute:

The first and third term will cancel:

Combine like terms:

Step-by-step explanation:
g(x) = ax²+bx+c
g(x)=−3x²−6x+5
a = -3, b= -6, c = 5
since a <0 , the function has only maximum value.
=> g'(x) = 0
-6x -6 = 0
-6x = 6
x = -1
the maximum value => g(-1) =
-3(-1)²-6(-1)+5 = -3+6+5 = 9
the domain : {x | x € Real numbers}
the range : {y| y ≤ 9, y € Real numbers}
the function is increasing for x < -1
the function is decreasing for x > -1
B and C
3^3 = 27
the cubed root of 27 is 3