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3 years ago

The straight line L passes through the points (0, 12) and (10, 4). Find an equation for L.

Mathematics

1 answer:

Charra [1.4K]3 years ago

8 0

Answer:

You need to add an image so we can see the line.

Step-by-step explanation:

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Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g

Ilia_Sergeevich [38]

a. The $\vec k$ component tells you the particle's height:

$3t=16\implies t=\dfrac{16}3$

b. The particle's velocity is obtained by differentiating its position function:

$\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k$

so that its velocity at time $t=\frac{16}3$ is

$\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k$

c. The tangent to $\vec r(t)$ at $t=\frac{16}3$ is

$\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t$

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3 years ago

Which expression is equivalent to 3^8 times 3^7?

m_a_m_a [10]

Answer:

1/3⁵⁶ is the answer i think if it's not then i am sorry

5 0

3 years ago

Find the slope of the line and the y intercept described by x-2y=-6

PtichkaEL [24]

Answer:

The slope is -6 and the y intercept is 0

6 0

3 years ago

Find the product of the<br>L.C.M and H.C.F of 8 and 12.

V125BC [204]

Answer:

<h3>96 is the answer. </h3>

Step-by-step explanation:

<h3>We multiply </h3><h3>24 *4 we shall get 96 as the answer. </h3><h3 />

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3 years ago

Read 2 more answers

How is 81^1/4 is 3?

e-lub [12.9K]

Answer:

$\sqrt[4]{81} = {( {3}^{4}) }^{ \frac{1}{4} }$

Step-by-step explanation:

it's obvious that 3·3·3·3=81

or you can do the prime factorization of 81

6 0

3 years ago