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3 years ago

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Instructions:Select the correct answer. What is the general form of the equation of the given circle with center A? x2 + y2 + 6x

− 24y − 25 = 0 x2 + y2 − 6x + 24y + 128 = 0 x2 + y2 + 6x – 24y + 128 = 0 x2 + y2 + 6x − 24y + 148 = 0

2 answers:

forsale [732]3 years ago

8 0

Its the third one hope this helps

baherus [9]3 years ago

8 0

The answer is x2 + y2 + 6x – 24y + 128 = 0. I hope this helps. XD

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18 - 24i write in trigonometric form

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$\boxed{18-24i=30(cos(5.36)+isin(5.36))}$

<h2>Explanation:</h2>

Unlike 0, we can write any complex number in the trigonometric form:

$z=r(cos\alpha+isin\alpha)$

We have the complex number:

$18-24i$

So $r$ can be found as:

$r=\sqrt{x^2+y^2} \\ \\ \\ Where: \\ \\ x=18 \\ \\ y=-24 \\ \\ r=\sqrt{18^2+(-24)^2} \\ \\ r=\sqrt{324+576} \\ \\ r=\sqrt{900} \\ \\ r=30$

Now for α:

$\alpha=arctan(\frac{y}{x}) \\ \\ Since \ the \ complex \ number \ lies \ on \ the \ fourth \ quadrant: \\ \\ \alpha=arctan(\frac{-24}{18})=-53.13^{\circ} \ or \ 360-53.13=306.87^{\circ}$

Finally:

$Convert \ into \ radian: \\ \\ 360^{\circ}\times \frac{\pi}{180}=5.36rad \\ \\ \\ Hence: \\ \\ \boxed{18-24i=30(cos(5.36)+isin(5.36))}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

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