Try the fastest way to create flashcards
Question

# Write the equation $10 x^2+2 y^2=40$ in standard form.

Solution

Verified
Step 1
1 of 2

The equation of the ellipse should be equal to $1$.

\begin{aligned} 10x^2+2y^2&=40\\ \frac{10x^2+2y^2}{40}&=\frac{40}{40}&&\text {DPE}\\ \frac{10x^2+2y^2}{40}&=1\\ \frac{10x^2}{40}+\frac{2y^2}{40}&=1&&\text{ Distributive Property}\\ \frac{x^2}{4}+\frac{y^2}{20}&=1&&\text{ Get the lowest term} \end{aligned}

Hence, the equation is $\dfrac{y^2}{20}+\dfrac{x^2}{4}=1$.

## Recommended textbook solutions #### Algebra 2, California Edition

1st EditionISBN: 9780078659805Beatrice Moore Harris, Carter, Casey, Cuevas, Day, Hayek, Holliday, Marks
8,110 solutions #### enVision Algebra 2

1st EditionISBN: 9780328931590 (1 more)Al Cuoco
3,573 solutions #### Big Ideas Math Algebra 2: A Common Core Curriculum

1st EditionISBN: 9781608408405 (1 more)Boswell, Larson
5,067 solutions #### Big Ideas Math: Algebra 2 A Common Core Curriculum

1st EditionISBN: 9781642088052Laurie Boswell, Ron Larson
5,067 solutions