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3 years ago

Simplify 3a(a^2-3a+4)-4(3a^3-2a^2)

Mathematics

1 answer:

bogdanovich [222]3 years ago

4 0

Answer:

Step-by-step explanation:

3a(a²-3a+4)-4(3a³-2a²) = 3a³ − 9a² + 12a − 12a³ + 8a²

= (3a³ − 12a³) + (− 9a² + 8a²) + 12a

= −9a³ − a² + 12a

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If cosine theta equals negative square root of three over two and pi over two less than theta less than pi, what are the values

Natalka [10]

<h2>Answer:</h2>

The values of sinθ and tanθ are:

$\sin \theta=\dfrac{1}{2}$

and

$\tan \theta=-\dfrac{1}{\sqrt{3}}=-\dfrac{\sqrt{3}}{3}$

<h2>Step-by-step explanation:</h2>

It is given that:

$\cos \theta=-\dfrac{\sqrt{3}}{2}$

where

$\dfrac{\pi}{2}$

i.e. the angle θ lie in the second quadrant.

Also, we know that in the second quadrant sine and cosecant function is positive.

whereas cosine,secant, tangent and cotangent functions are negative.

Now, we know that:

$\cos (\dfrac{5\pi}{6})=-\dfrac{\sqrt{3}}{2}$

i.e. here

$\theta=\dfrac{5\pi}{6}$

Hence, we have:

$\sin (\theta)=\sin (\dfrac{5\pi}{6})\\\\i.e.\\\\\sin \theta=\dfrac{1}{2}$

Also,

$\tan \theta=\dfrac{\sin \theta}{\cos \theta}\\\\i.e.\\\\\tan \theta=\dfrac{\dfrac{1}{2}}{\dfrac{-\sqrt{3}}{2}}\\\\i.e.\\\\\tan \theta=\dfrac{1}{-\sqrt{3}}\\\\i.e.\\\\\tan \theta=-\dfrac{1}{\sqrt{3}}$

Now, on rationalizing we have:

$\tan \theta=-\dfrac{\sqrt{3}}{3}$

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4 years ago

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A class has 11 students who are to be assigned seating by lot.

Rainbow [258]

Answer:

it would be c

Step-by-step explanation:

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4 years ago

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In the following diagram ABC and DBE<br><br>find x

rewona [7]

16 + 8 = 24

muse ratios:

8/x = 24/18

Cross multiply:

24x = 144

Divide both sides by 24:

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2 years ago

Tahmar knows the formula for simple interest is l=prt where I represent the simple interest on an amount of money p for t years

zvonat [6]

Answer:

$80

Step-by-step explanation:

The formula for p is ...

p = I/(rt)

Filling in the given values, we get ...

p = $20/(0.05·5) = $80

The amount that will generate the desired interest is $80.

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3 years ago

8x+5y=40 How to find a slope

ololo11 [35]

Answer:

the slope is -8/5

Step-by-step explanation:

we need to get the equation in the form

y= mx+b where m is the slope and b is the y intercept

8x + 5y =40

subtract 8x from each side

8x-8x + 5y = -8x +40

5y = -8x+40

divide each side by 5

5y/5 = -8x /5 + 40/5

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the slope is -8/5 and the y intercept is 8

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3 years ago