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: Isolate y

Given $a = \pi xy$, divide both sides by $\pi x$ to solve for y.
$\frac{a}{\pi x}=\frac{\pi xy}{\pi x}$

Step2: Simplify

The $\pi x$ terms on the right - hand side cancel out, leaving $y=\frac{a}{\pi x}$, which is equivalent to $y = a\div(\pi x)$.

Answer:

D. $y = a\div(\pi x)$