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)

Answer 1

Answer:

Step-by-step explanation:

If $A =\pi xy$, then π, x, and y are all multiplied together. Multiplication is undone by division, so we will divide away the πx to solve for y:

$\frac{A}{\pi x}=y$ which is your last option.

Answer 2

Here, we are required to find an equivalent equation solved for y if the area, a is given by;

a = πxy

An equivalent equation solved for y is;

y = a ÷ (πx)

To find an equivalent equation solved for y,

We have to make y the subject of the formula in;

a = πxy.

Therefore, by dividing both sides of the equation by πx, so that y is left alone on the right hand side.

Therefore, y = a ÷ (πx).

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