Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.