1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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)

You might be interested in
Question<br> What is the factored form of this polynomial?<br> p(x) = x + 7x2 + 4x - 12
Soloha48 [4]

Answer:

^(3)+7x^(2)+4x-12

Step-by-step explanation:

8 0
3 years ago
Help please <br> I need this today
Katen [24]
Triangles a are similar because they have the same degrees

And Triangles d are similar because they are the same shape
3 0
3 years ago
The formula=A+2lh+2wh gives surface area a. Of a rectangler solid with length, width, and height, L,W, and H, respectively solve
iogann1982 [59]

Answer:

l= \frac{A}{2h} -w

Step-by-step explanation:

The question is not correct (particularly the expression for the area)

 A=2lh+2wh

Now we are expected to solve for l, that is we are going to make l subject of the formula, we have

let us take the second term on the RHS to the LHS

A-2wh= 2lh

we can now divide both sides by 2h we have

\frac{A-2wh}{2h} = l\\\\l=\frac{A}{2h} -\frac{2wh}{2h} \\\\l= \frac{A}{2h} -w

hence the expression for the length is  l= \frac{A}{2h} -w

6 0
3 years ago
Using a common denominator to write an equivalent fraction for 3/7?
Nutka1998 [239]
6/14

Multiply both 3 and 7 by 2, this gives you equivalent fractions (there are more possible equivalent equations of course)
4 0
2 years ago
Read 2 more answers
How do you find the measure of each
bogdanovich [222]
Um, so it's a bit awkward with this question because they actually got the x value incorrect. When they added up all the values, they got 9x - 27 = 180, but it's actually 9x + 27 = 180 because -18 + 45 is positive 27. Anyways, when you solve it correctly you get x = 17, and then you substitute it into the angles. So with 5x - 18, you are saying 5(× 17) - 18 = 67. Then with the other one you do 4(× 17) + 45 = 113. You know that x is definitely 17 because 113 + 67 = 180.
4 0
3 years ago
Other questions:
  • An ostrich that is 108 inches tall is 20 inches taller than 4 times the height of a kiwi. What is the height of the kiwi in inch
    6·1 answer
  • URGENT!!!!!!!!!!! PLEASE HELP!!!!!!!!!!!!!! WILL GIVE BRAINLIEST, AND RATING!!!!!!!!!!!!!
    5·1 answer
  • A salesperson is paid $400 per week, plus 10% of the total value of the sales she makes for the week. Let S represent the tota
    8·2 answers
  • The local kennel has 3 spots for cats to every 5 dogs. if the local kennel has a total of 72 spots for both cats and dogs, then
    11·1 answer
  • What does -12(4+g)=?
    15·2 answers
  • Answers please this is very hard :))
    8·2 answers
  • An airplane ticket to new york is priced at $1232.10 inclusive of 11% sales tax what amount would the airline ticket cost exclus
    6·1 answer
  • Evaluate the numerical expression 24<br> Enter your answer in the grid below.
    11·2 answers
  • In jeremiah class 2/5 of the students are boys. What percent of the in jeremiah's class are boys
    8·2 answers
  • The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at H
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!