The vertex form of the quadratic equation given is y = 4(2x +1)² -12
<h3>What is an Equation ?</h3>
An equation is formed when two algebraic expressions are equated by an equal sign , It has wide usage in mathematics to find the unknown variables.
A quadratic equation is given
y = 4x² +16x -48
The vertex form has to be written for it
The standard quadratic equation is
y = a(x-h)² +k
where h and k are the vertex
From the given equation
y = 4x² +16x +4 - 4 -8
y = (4x+2)² -12
y = 4(2x +1)² -12
So here it is in the standard form
Vertex is (-1 , -12)
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Answer:
The answer is - 2 < x < 2
Step-by-step explanation:
–5 < 2x – 1 < 3
Add 1 to both sides to eliminate - 1
That's
- 5 + 1 < 2x - 1 + 1 < 3+ 1
- 4 < 2x < 4
Divide both sides by 2
That's
- 4/2 < 2x/2 < 4/2
The final answer is
<h3 /><h3>- 2 < x < 2</h3>
Hope this helps you
8/10
10/12
40/42
any of these show work really
Answer:
C. (5x√2)² = 50x²
Step-by-step explanation:
Area of parallelogram = QR²
QR = √((5x)² + (5x)²) ---› pythagorean theorem
QR = √(25x² + 25x²) =
QR = √(50x²)
QR = √(25*2*x²)
QR = 5x√2
✔️Area of parallelogram = QR²
= (5x√2)² = 25x² × 2 = 50x²
