Question

the area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse. which is an equivalent equation solved for y? y = a·πx; y = a ÷ (πx); y = a + (πx); y = a - πx

Explanation:

Step1: Start with the formula

We have the formula for the area of an ellipse: \( a=\pi xy \). Our goal is to solve for \( y \).

Step2: Isolate \( y \)

To isolate \( y \), we need to divide both sides of the equation by \( \pi x \) (assuming \( \pi x
eq0 \)). So, dividing both sides of \( a = \pi xy \) by \( \pi x \), we get \( y=\frac{a}{\pi x} \), which is equivalent to \( y = a\div(\pi x) \).

Answer:

\( y = a\div(\pi x) \) (the second option among the given ones)