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
What Is The Probability That The Spinner Will Land On Either Yellow (Y) Or Green (G)?
Sholpan [36]
2/3.
the spinner has 4/6 parts that are y and g, and that simplifies down to 2/3
4 0
3 years ago
Read 2 more answers
2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k
Debora [2.8K]

Answer:

k = 4

Step-by-step explanation:

if f(x) is divided by (x - h) then f(h) is the remainder

f(x) = 2x³ - 3x² + kx - 1

divided by (x - 1) , so h = 1 , then

2(1)³ - 3(1)² + k(1) - 1 = 2

2 - 3 + k - 1 = 2

- 2 + k = 2 ( add 2 to both sides )

k = 4

7 0
2 years ago
Simplify the slope of AC
Lemur [1.5K]

Answer:

Slope\:\: \overline{AC} =1

Step-by-step explanation:

A is on the same point on the x-axis as B and the same point on the y-axis as D

  • Therefore, the coordinate of A is (0,0)

C is on the same point on the x-axis as D and the same point on the y-axis as B.

  • Therefore, the coordinate of C is (a,a)

We are to determine the slope of the line joining A to C.

Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1

Slope\:\: \overline{AC} =1

6 0
3 years ago
Which polynomial is prime​
Vikentia [17]

We need more information. You don't give us enough information....? Provide an image please. Or at least name the polynomials...

7 0
3 years ago
How to find the area of a triangle with three points in 3d?
Otrada [13]
Again u just have to meaiuse
8 0
3 years ago
Other questions:
  • A swimming pool has 2.5 million liters of water, some water evaporated and now there is only 2 million liters. How much percent
    6·1 answer
  • PLEASE HELP ASAP, I WILL MARK THE BRAINLIEST
    6·1 answer
  • Perry made $34,885 this year. If the inflation rate was 6.5 percent, how much was his salary actually worth? (purchasing power)
    5·1 answer
  • How would I solve (x-3)(3x+5)
    9·1 answer
  • What are the zeros of the polynomial function: f(x) = x3 + x2 – 6x ? ...?
    7·2 answers
  • BRAINLIEST AND 50 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • A copy machine is set to enlarge an image 160%. If the original image is 3 inches tall, how
    7·1 answer
  • I NEED HELP ASAP <br> FIND THE MEASURE OF MISSING ANGLE
    5·1 answer
  • Given the table, write and equation for the function, and describe what it does.<br><br> ASAP!!!
    11·1 answer
  • If m DBC = 25x+ 7 and m TBC = 12x+ 5 =, find the degree measures of TBC, DBT, and DBC.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!