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3 years ago

What is the quotient (3x^3 10x^2 10x 4) divided by (x 2)?

Mathematics

1 answer:

lozanna [386]3 years ago

3 0

Answer:

3x^2 + 16x + 42

3x^2 + 4x + 2

3x^2 – 16x + 42

3x^2 – 4x + 2

Step-by-step explanation:

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4 years ago

Find a vector of magnitude 3 in the direction of v=4i-3k

pochemuha

Answer:

$\frac{12i}{5} - \frac{9k}{5}$

Step-by-step explanation:

The magnitude of a vector v = ai + bk is

$|v| = \sqrt{a^{2} + b^{2}$

In this problem, we have that:

Find a vector of magnitude 3 in the direction of v=4i-3k:

The first step is finding the unit vector of v, $v_{u}$ .

$|v| = \sqrt{4^{2} + (-3)^{2}} = 5$

$v_{u} = \frac{4i}{5} - \frac{3k}{5}$

Magnitude 3, same direction.

We multiply the unit vector by +3, since it is in the same direction. If it was in the opposite direction, we would have multiplied by -3.

The answer is:

$\frac{12i}{5} - \frac{9k}{5}$

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