High School

We appreciate your visit to What is the result of isolating tex y 2 tex in the equation below tex 4x 2 25y 2 100 tex A tex y 2. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the result of isolating [tex]$y^2$[/tex] in the equation below?

[tex]4x^2 + 25y^2 = 100[/tex]

A. [tex]y^2 = 25 - \frac{4}{25} x^2[/tex]

B. [tex]y^2 = 4 - \frac{4}{25} x^2[/tex]

C. [tex]y^2 = 100 - \frac{4}{25} x^2[/tex]

D. [tex]y^2 = 100 - 4x^2[/tex]

Answer :

Sure, let's work through the steps to isolate [tex]\( y^2 \)[/tex] in the equation [tex]\( 4x^2 + 25y^2 = 100 \)[/tex].

1. Subtract [tex]\( 4x^2 \)[/tex] from both sides:
[tex]\[
25y^2 = 100 - 4x^2
\][/tex]

2. Divide each term by 25 to solve for [tex]\( y^2 \)[/tex]:
[tex]\[
y^2 = \frac{100}{25} - \frac{4x^2}{25}
\][/tex]

3. Simplify each fraction:
[tex]\[
y^2 = 4 - \frac{4}{25}x^2
\][/tex]

By following these steps, the expression for [tex]\( y^2 \)[/tex] is:
[tex]\[
y^2 = 4 - \frac{4}{25}x^2
\][/tex]

Therefore, the correct answer is B. [tex]\( y^2 = 4 - \frac{4}{25}x^2 \)[/tex].

Thanks for taking the time to read What is the result of isolating tex y 2 tex in the equation below tex 4x 2 25y 2 100 tex A tex y 2. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada