Solve the Formula $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { f ^ { 2 } } = 1 ; y$

question 52

Multiple Choice

Solve the formula $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { f ^ { 2 } } = 1 ; y$
for the indicated variable.

• A)\(y=\sqrt{f(2-x a)(1+x a)}, y=-\sqrt{f(2-x a)(1+x a)}\)
• B)\(y=f \sqrt{\left(1-\frac{x}{a}\right)\left(1+\frac{x}{a}\right)}, y=-f \sqrt{\left(1-\frac{x}{a}\right)\left(1+\frac{x}{a}\right)}\)
• C)\(y=f \sqrt{\left(a-\frac{x}{a}\right)\left(a+\frac{x}{a}\right)}, y=-f \sqrt{\left(a-\frac{x}{a}\right)\left(a+\frac{x}{a}\right)}\)
• D)\(y=\sqrt{f\left(1-\frac{x}{a}\right)^{2}}, y=-\sqrt{f\left(1-\frac{x}{a}\right)^{2}}\)
• E)\(Y=f(1-x a)(1+x a), Y=-\sqrt{f(1-x a)(1+x a)}\)

---

Definitions:

Bibliography

A list of sources, such as books, articles, and documents, that were consulted or referenced in the creation of a piece of writing.

Delivery Cues

Nonverbal signals or notes used by a speaker to aid the presentation or delivery of a speech or message, ensuring key points are communicated effectively.

Numbered Cards

Cards sequentially labeled to organize information, facilitate easy retrieval, or guide an ordered presentation or process.

Nonlinear

Not proceeding in a straight line or sequential order, often referring to narratives or processes that jump around in time or topic.