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11 days ago

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The general form of the equation of a circle is x2 + y2 + 8x + 22y + 37 = 0. The equation of this circle in standard form is (x

+ )2 + (y + )2 = . The center of the circle is at the point ( , ). NextReset

1 answer:

Leona [9.2K]11 days ago

3 0

Greetings:
<span>x² + y² + 8x + 22y + 37 = 0
(x² +8x) +(y² +22y) +37 = 0

</span>(x² +8x+4²)-4² +(y² +22y+11²) -11²+37 = 0
(x+4)² +(y+11)²-16-121+37 =0

(x+4)² +(y+11)² =10²...(<span>standard form )
</span><span>The circle's center is located at (-4, -11) and has a radius of 10</span>

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Substituting the known values,

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Now we'll input the values.

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We substitute values here as well.

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El diagrama que ilustra esta situación está en el archivo adjunto. Para calcular la altura del globo, se pueden emplear las funciones trigonométricas, siendo recomendable hacer uso de la función tangente para los ángulos de depresión mencionados:

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