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3 years ago

6

Given a line and a point not on the line how many planes do they define?

1 answer:

kati45 [8]3 years ago

7 0

<h3>Answer: 1 plane</h3>

Think of a flat sheet of paper. If you draw a line through that paper, you can rotate the paper around the line to lake it spin like a fan blade. This suggests infinitely many planes go through the same straight line. If you add a point somewhere off the line, then the plane becomes fixed and there is only one plane that goes through both the line and the point at the same time.

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A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

<em> $d(t)$ is the displacement with respect to the mean position at any time $t$ </em>
<em> $A$ is amplitude </em>
<em> $w$ is the natural frequency of oscillation ( $rads^{-1}$ )</em>
<em> $c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )</em>

given,

Time period ( $T$ ) = $2s$
$A=8$
The natural frequency ( $w$ ) and time period ( $T$ ) is :

$w=\frac{2\pi} {T}$

∴

$w$ = $\frac{2\pi }{2} = \pi$ $rads^{-1}$

∴

the equation :

<em>⇒ $d(t)=8sin(\pi t+c)$ </em> ------1

since $d=0$ when $t=o$ ,

<em>⇒ $0=8sinc\\c=n\pi$ ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , $x$ must be negative or c must be an odd multiple of $\pi$ .</u>

<em>⇒ $d(t) = 8sin(\pi t+(2k+1)\pi )$ ------3</em>

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

$d(t)=8sin(\pi t+\pi )$

<em></em>

7 0

3 years ago

How do you write 1.3 × 105 in standard form?

emmainna [20.7K]

Given:

The scientific notation of a number is $1.3\times 10^5$ .

To find:

The standard form of the given number.

Solution:

Standard form: The normal way of writing a number is called standard form. For example: 200, 25600, 1025000 etc.

We have,

$1.3\times 10^5$

It can be written as

$1.3\times 10^5=1.3\times 100,000$

$1.3\times 10^5=130,000$

Therefore, the standard form of the given number is 130,000.

7 0

3 years ago

K= 2m-x/ x solve for x

Yakvenalex [24]

the answer is x = 2m/1+k

4 0

4 years ago

Find the output, hhh, when the input, ttt, is 353535.

kow [346]

9514 1404 393

Answer:

43

Step-by-step explanation:

Put the value where t is and do the arithmetic.

h = 50 -t/5

h = 50 -35/5 = 50 -7 = 43

The output, h, is 43 when the input is 35.

4 0

3 years ago

Which of these graphs represents a function?

Alisiya [41]

Answer:

the upper right one

6 0

3 years ago

Read 2 more answers