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
german
3 years ago
10

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a

missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.
r1(t) = t^2, 8t − 15, t^2
r2(t) = 11t − 30, t^2, 13t − 40
t=
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

Answer:

Step-by-step explanation:

r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \  13t-40>  \\ \\  at \  r_1 = r_2 \\ \\  t^2 = 11t - 30 , \ \ \ \ \ \  \ \ \ \ \ \  8t - 15 = t^2 , \ \ \  \ \ \  \ \ \  t^2 = 13t -40  \\ \\  t^2 - 11t + 30\ \ \   \ \ \   \ \ \  \ \ \  t^2 -8t + 15 , \ \ \  \ \ \  \ \ \  \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0  \ \ \ \ \ \  t^2 - 1t - 13t + 40 =0

(t-6)(t-5)  \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3)  \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)

\mathbf{The \  common  \ value \  of   \ t \ = \  5}

You might be interested in
Which of the following sentences has a relative clause?
Aloiza [94]
D. The audience applauded the ambassador, who spoke for one-half hour. 
8 0
3 years ago
If A=30° and B=60°,show that sinc(A+B)= sinA . cos60°.sin 30°​
notka56 [123]

Answer:

Lol .... I don't know the answer :D :P

Step-by-step explanation:

L.H.S x 0 = 0

R.H.S x 0 = 0

L.H.S = R.H.S

Hence , proved .....

7 0
2 years ago
Can someone help me with all these!im giving brainliest:)
xenn [34]

Step-by-step explanation:

  • 1a.2.
  • b.1/2 base×height
  • c.2 ×1/2 base×height
  • base×height

b.

  • 1m=100cm
  • 1m²=100cm×100cm
  • 1m²=10000cm²
  • 0.25m²=0.25×10000cm²
  • 0.25m²=2500cm²

C.

  • .3
  • .area of rectangle button+area of back+area of top
  • d.total surface area =base×height+area of rectangle button+area of back+area of top

6 0
3 years ago
Worth 50 points if you help<br> Plz it’s due in 3 hours it’s math and show ur work plz
vodomira [7]

Answer:

1 We set z=-4

(2*-4 + b)(-4 - 3) = 0

(-8 + b)(-7) = 0

Set the factor (-8 + b) equal to 0.

-8 + b = 0

Solving for b, we get 8

b = 8

2We simplify the equation to the form, which is simple to understand  

6x-12=51-3x

We move all terms containing x to the left and all other terms to the right.  

+6x+3x=+51+12

We simplify left and right side of the equation.  

+9x=+63

We divide both sides of the equation by 9 to get x.  

x=7

3 Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 6x = 35 + -8

Combine like terms: 8 + -8 = 0

0 + 6x = 35 + -8

6x = 35 + -8

Combine like terms: 35 + -8 = 27

6x = 27

Divide each side by '6'.

x = 4.5

Simplifying

x = 4.5

4 Combine like terms: 6x + x = 7x

14 + 7x = 70

Solving

14 + 7x = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + 7x = 70 + -14

Combine like terms: 14 + -14 = 0

0 + 7x = 70 + -14

7x = 70 + -14

Combine like terms: 70 + -14 = 56

7x = 56

Divide each side by '7'.

x = 8

Simplifying

x = 8

5 15-4=11+3=14

19-14= x=5

6Combine like terms: -2 + 10 = 8

8 + 6x + 8x = 8

Combine like terms: 6x + 8x = 14x

8 + 14x = 8

Add '-8' to each side of the equation.

8 + -8 + 14x = 8 + -8

Combine like terms: 8 + -8 = 0

0 + 14x = 8 + -8

14x = 8 + -8

Combine like terms: 8 + -8 = 0

14x = 0

Solving

14x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '14'.

x = 0

Simplifying

x = 0

7idk sorry

8Solving

0.8 + 0.4x = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8' to each side of the equation.

0.8 + -0.8 + 0.4x = 2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0

0.0 + 0.4x = 2 + -0.8

0.4x = 2 + -0.8

Combine like terms: 2 + -0.8 = 1.2

0.4x = 1.2

Divide each side by '0.4'.

x = 3

Simplifying

x = 3

Step-by-step explanation:

i hope this is right good luck

5 0
3 years ago
Read 2 more answers
-8,-1,6,13 what the next three numbers
kobusy [5.1K]
20,27,34

The common difference is 7
7 0
3 years ago
Read 2 more answers
Other questions:
  • In a harris poll of 500 human resource professionals, 150 said that body piercings and tattoos were big grooming red flags. use
    13·1 answer
  • Find the LCM of 8, 12, and 16. <br><br> A.48<br><br> B.96<br><br> C.192<br><br> D.1536
    10·1 answer
  • A horseshoe weighs 8.2 ounces. The nails make up 0.2 of that weight. What is the weight of the horseshoe without the nails?
    11·2 answers
  • Miss Anderson purchased a table and a rug for her living room as shown in the diagram how much greater is the perimeter of the r
    6·1 answer
  • Area and perimeter of 9cm and 11cm
    9·1 answer
  • Please solve:12−3∙(5+x)= Thanks!
    6·1 answer
  • The windows of a downtown office building are arranged so that each floor has 6 fewer windows than the floor below it. If the gr
    7·2 answers
  • Can you guys help with these questions!!
    13·1 answer
  • Please help me with this one
    11·2 answers
  • Find the perimeter. Simplify your answer.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!