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lawyer [7]
2 years ago
6

Simplify the expression

Mathematics
1 answer:
kow [346]2 years ago
4 0

Answer:

<h3>           f(x) = 5x² + 2x</h3><h3>           g(x) = 6x - 6</h3>

Step-by-step explanation:

\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6

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What is the arc length of arc CD in the circle below? Radius is 8ft and central angle is 35 degrees
ki77a [65]
This depends on the question itself. But I will assume and provide an answer.

If arc CD is made from the central angle intercepting the perimeter of the circle( so if the central angle is CBD, then the arc is from the two endpoints of the angle) that would mean that the arc is 35 degrees. If the two endpoints of the arc are NOT the two points from the angle that lie on the circle, then I cannot provide an answer without a picture.

To sum it up, if the arc begins and ends on the two endpoints of the angle, then it is 35 degrees. Unless it goes the long way around, then it would be 325, but that's unlikely to be the case. 
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3 years ago
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Svet_ta [14]

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Step-by-step explanation:

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3 years ago
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4 0
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ludmilkaskok [199]

For each of these problems, remember SOH-CAH-TOA.

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3 years ago
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