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3 years ago

Factor completely 2c5 + 44c4 + 242c3. 2c3(c + 11)2 2(c + 11)2 2c3(c + 11)(c − 11) 2c3(c2 + 22c + 121)

Mathematics

2 answers:

Galina-37 [17]3 years ago

6 0

Answer:

2c^3(c+11)^2

Step-by-step explanation:

2c^5 + 44c^4 + 242c^3

Factor out the greatest common factor

2c^3(c^2+22c+121)

Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11

2c^3(c+11)^2

guajiro [1.7K]3 years ago

3 0

Answer:

2c^3(c+11)^2

Step-by-step explanation:

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Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

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3 years ago

Help me plz!!!!!!!!!!!

svetlana [45]

The first one is the answer

7 0

3 years ago

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Find the product. (x-3)^2

r-ruslan [8.4K]

Greetings and Happy Holidays!

Find the Product:
$(x-3)^2$

Expand:
$=(x-3)(x-3)$

Use FOIL or other techniques to solve binomial multiplication:
$=x(x-3)-3(x-3)$

$=x^2-3x-3(x-3)$

$=x^2-3x-3x+9$

Combine like terms:
$=x^2-6x+9$

The Answer Is:
$\boxed{=x^2-6x+9}$

I hope this helped!
-Benjamin

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3 years ago

What is the value of a in the diagram below?

adell [148]

Answer:

a=8

Step-by-step explanation:

We can use ratios of similar triangles to solve

The smaller triangle has sides a and 12 and the larger triangle has sides a+a+4 and 12+18 which combine to 2a+4 and 30

a 2a +4

--------- = -----------

12 30

Using cross products

30a = 12(2a+4)

30a = 24a +48

Subtract 24a from each side

30a -24a = 24a-24a +48

6a = 48

Divide each sdie by 6

6a/6 =48/6

a =8

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3 years ago

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goblinko [34]

Answer:

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Step-by-step explanation:

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