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sertanlavr [38]
3 years ago
10

(1 point) A particle starts at the point P=(−2,−1,3)P=(−2,−1,3) when t=0t=0 and moves along a straight line toward Q=(−4,0,6)Q=(

−4,0,6) at a speed of 77 cm/sec. Let x, y, and z be measured in cm, and t in seconds. Find a parametric vector equation for the position of the object. r⃗ (t)=r→(t)=
Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Answer:

The position is given by r(t) =  (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

Step-by-step explanation:

The direction is given by the difference between the starting point and the end point, thus it is (-4,0,6)-(-2,-1,3) = (-2,1,3). The norm of this vector is        √( (-2)²+1²+3²) = √14 = 3.7416 secons

Since the speed is 7 cm/sec, we need to multiply this vector by 7/√14 = √3.5 in order to obtain how much does the particle advance each second.

As a consecuence, it advances (-2,1,3) * √3.5 = (- √14, √3.5, 3 √3.5)

And, as a result, the position after t seconds is given by the function

r(t) = (-2,1,3) + t (-√14, √3.5, 3 √3.5) = (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

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Which of the following values is the solution of x/32=8?<br> a 24<br> b 40<br> c 256<br> d 4
Oduvanchick [21]

Answer:

c) 256

Step-by-step explanation:

https://www.tiger-algebra.com/drill/x/32=8/ This link shows you how it’s done, it’s not some random link, i used the website all the time

4 0
3 years ago
What is th GCF of 21 and 18
ZanzabumX [31]

Answer:

The answer is 3.

Explanation:

Factors of 18:

1, 2, 3, 6, 9, 18.

Factors of 21:

1, 3, 7.

The highest number that both sets contain is 3, so the GCF will be 3.


5 0
3 years ago
Read 2 more answers
What is the answer Factorise: 2x² +7x+6.<br><br>​
Mila [183]

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

7 0
3 years ago
Read 2 more answers
Please look at the picture
arlik [135]

Answer:

1.5

Step-by-step explanation:

Vertical angles are congruent so:

7x=8x-12

Subtract 7x from both sides:

0=8x-12

Add 12 to both sides:

8x=12

Divide both sides by 8:

x=1.5 or

x= 3/2

7 0
3 years ago
Please help please thank you
AleksAgata [21]
Honestly, I would go with:
C. Yes, because the mean is larger in the math book

Because the mean for the math book is 49.9 and the poetry book's mean is 41.5. And since 49.9 is a bigger number than 41.5, that is why i'm going with that one

But it's for sure one of the bottom 2

Hope this helps!! :-)
8 0
3 years ago
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