<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

Next, divide both sides by 2:

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:

Next, factor the left side:

Next, square root both sides of the equation:

Next, add 4 to both sides of the equation:

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.

<h2>Answer:</h2>
In exact form, your answer is 
In approximate form, your answers are (rounded to the hundreths) 
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
The vertex form:

The axis of symetry is x = h.

We have

Substitute:

<h3>Answer: x = 3</h3>
Answer:
Option A
Step-by-step explanation:
We have y < 2x - 4 and y > 2x + 1.
=> 2x - 4 > 2x + 1
=> -4 > 1
Since this inequality is false for all real values of x, there is no solution for the system of inequalities.