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frez [133]
3 years ago
14

How do you find the quadratic equation for the roots 3 and 17?

Mathematics
1 answer:
Naily [24]3 years ago
6 0
The roots are 3 and 17 so the distributed equation is

(x-3)(x-17)

distribute 

x²-3x-17x+51

x²-20x+51

I hope I've helped! 
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Express the complex number in trigonometric form.<br><br> -6 + 6\sqrt(3) i
horrorfan [7]

Answer:

<h2>12(cos120°+isin120°)</h2>

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

where the modulus |r| = \sqrt{x^{2}+y^{2} and the argument \theta = tan^{-1}\frac{y}{x}

In polar form, x = rcos\theta \ and\ y = rsin\theta

z = rcos\theta+i(rsin\theta)\\z = r(cos\theta+isin\theta)

Given the complex number, z = -6+6\sqrt{3} i. To express in trigonometric form, we need to get the modulus and argument of the complex number.

r = \sqrt{(-6)^{2}+(6\sqrt{3} )^{2}}\\r = \sqrt{36+(36*3)} \\r = \sqrt{144}\\ r = 12

For the argument;

\theta = tan^{-1} \frac{6\sqrt{3} }{-6} \\\theta = tan^{-1}-\sqrt{3}  \\\theta = -60^{0}

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

\theta =180-60\\\theta = 120^{0}

z = 12(cos120°+isin120°)

This gives the required expression.

4 0
4 years ago
BRAINLEIST ASAP! PLEASE HELP ME FAST! :)
Arturiano [62]

Answer:

Lines c and b, f and d (option b)

Step-by-step explanation:

To prove whether the lines satisfy the condition of being a transversal to another, let's prove one of the conditions wrong, and thus the answer -

Option 1:

Here lines a and b do not correspond to one another provided they are both transversals, thus don't act as transversals to one another, they simply intersect at a given point.

Option 2:

All conditions are met, lines c and b correspond with one another such that b is a transversal to both c and d. Lines f and d correspond with one another such that f is a transversal to both d and c.

Option 3:

Lines c and d are both not transversals, thus clearly don't act as transversals to one another.

Option 4:

Lines c and d are both not transversals, thus clearly don't act as transversals to one another.

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Olivia goes up 14 meters everyday when traveling from her home to her school
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-6n-2n=16 <br><br><br> This isn't urgent
dezoksy [38]
I’m pretty sure n = -2

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Simplify 5 square root 45
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I hope this helps you

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