3 years ago

Simplify the expression by combining like terms.

Mathematics

1 answer:

andreev551 [17]3 years ago

6 0

4b + 2 is your answer just to help you out if you use cymath you can easily get your answer like i did

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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

Choose the correct simplification of the expression (b^5)4

tangare [24]

Answer:

b^20

Step-by-step explanation:

when the exponents have one inside and the other outside, they are multiplied.

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3 years ago

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serg [7]

Answer:

sas

Step-by-step explanation:

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Where do I plot 1.25 and -1.25

slavikrds [6]

Answer:

I'd need to see more, but because they are the same number just positive and negative they'd be on opposite ends of zero

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3. The first three place values to the right of the decimal point are the tenths place, the hundredths place, and the thousandth

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Answer:

True

Step-by-step explanation:

0 . 0 0 0

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