Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

The axis of symmetry for a quadratic equation can be found using the formula [tex]$x=\frac{-b}{2a}[tex]$[/tex], where [tex]$[/tex]a[tex]$[/tex] and [tex]$[/tex]b[tex]$[/tex] are coefficients in the quadratic equation and [tex]$[/tex]x$[/tex] represents the values along a vertical line on the coordinate plane.

What is the equation when solved for [tex]$a$[/tex]?

A. [tex]$a=\frac{b}{2x}$[/tex]

B. [tex]$a=\frac{-b}{2x}$[/tex]

C. [tex]$a=\frac{1}{2}bx$[/tex]

D. [tex]$a=-\frac{1}{2}bx$[/tex]

Sagot :

GinnyAnswer
To solve the formula \( x = \frac{-b}{2a} \) for \( a \), we need to isolate \( a \) on one side of the equation. Let us proceed step-by-step:

1. Start with the given formula:
[tex]\[ x = \frac{-b}{2a} \][/tex]

2. Multiply both sides of the equation by \( 2a \) to get rid of the denominator on the right-hand side:
[tex]\[ 2a \cdot x = -b \][/tex]

3. Simplify the equation:
[tex]\[ 2ax = -b \][/tex]

4. To isolate \( a \), divide both sides of the equation by \( 2x \):
[tex]\[ a = \frac{-b}{2x} \][/tex]

Thus, when the formula \( x = \frac{-b}{2a} \) is solved for \( a \), the equation is:

[tex]\[ a = \frac{-b}{2x} \][/tex]

So the correct answer is:
[tex]\[ a = \frac{-b}{2x} \][/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.