## Related questions with answers

Question

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

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2The 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 $\dfrac{y^2}{20}+\dfrac{x^2}{4}=1$.

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