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The area, a, of an ellipse can be determined using the formula a=pi xy, 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=acdot pi x y=a+(pi x) y=a-pi x y=a+(pi x)

Pergunta

The area, a, of an ellipse can be determined using the
formula a=pi xy, 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=acdot pi x
y=a+(pi x)
y=a-pi x
y=a+(pi x)

The area, a, of an ellipse can be determined using the formula a=pi xy, 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=acdot pi x y=a+(pi x) y=a-pi x y=a+(pi x)

Solução

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ZildaVeterano · Tutor por 12 anos

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To solve for y in the equation $a=\pi xy$, we need to isolate y on one side of the equation.<br /><br />Given equation: $a=\pi xy$<br /><br />Divide both sides of the equation by $\pi x$ to isolate y:<br /><br />$\frac{a}{\pi x} = y$<br /><br />Therefore, the equivalent equation solved for y is:<br /><br />$y = \frac{a}{\pi x}$<br /><br />So, the correct answer is:<br /><br />$y = \frac{a}{\pi x}$
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