Question

Ayuden
Hallar el area de la elipse:
2. 2
9(x+1) + 4(y+1) =36

Answer 1

Hola !! ^^

=> Resolviendo :

$9(x + 1) + 4(y + 1) = 36 \\ \frac{9(x + 1)}{36} + \frac{4(y + 1)}{36} = \frac{36}{36} \\ \frac{(x + 1)}{ {2}^{2} } + \frac{(y + 1)}{ {3}^{2} } = 1$

=> Aplicando fórmula :

Area de elipse :

$a \times b \times \pi$

Dónde :

a= 2

b=3

Entonces :

A =

$3 \times 5 \times \pi \\ 15\pi \: {u}^{2}$

Espero te sirva !! ^^