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
AleksandrR [38]
3 years ago
10

determine whether the lines intersect and if so find the point of intersection and the cosine of the angle of intersection x=4t+

2 y=3 z=-t+1.
Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

As the lines are not intersecting nor parallel, they must be skew.

Step-by-step explanation:

Question is incomplete, we consider the nearest match available online.

Parametric equations of two lines are:

L₁ : x=4t+2 , y = 3 , z =-t+1

L₂: x=2s+2 , y= 2s+5 , z = s+1

If lines are parallel then parametric coordinates must be equal scalar multiple of each other which s not true here.

4t+2=2s+2 ---(1)\\ \\3=2s+5---(2) \\\\-t+1=s+1---(3)

If lines are intersecting then parametric coordinates must be equal for some value of t and s.

From (3)\\-t=s\\From (2)\\\\s=\frac{3-5}{2}\\\\s=-1\\\implies t=1\\\\To\,\,check\,\, the \,\,values \,\,of \,\,s\,\, and \,\,t \,\,for\,\,intersection\,\,put \,\,them\,\, in\,\, (1)\\\\4(1)+2= 2(-1)+2\\ 6\ne0

Hence the lines are not intersecting nor parallel, they must be skew.

You might be interested in
Find f(4) for the function below. <br><br> f(x) = |x-7| + 3
Anastaziya [24]

Step-by-step explanation:

f(x) = |x-7| + 3

when x is equal to 4, then

f(4) = |4-7| + 3

=-3+3

=0

6 0
2 years ago
Read 2 more answers
If 75% is 10 days, how many days is the remaining 25%?
inna [77]

Answer:

10/3 days  or 3 1/3 days

Step-by-step explanation:

Let d = number of days total

75% of the days is 10

.75 d = 10

d = 10/.75

d = 40/3 days

We want to know how man is 25% of d

d * 25%

(40/3) *.25

10/3 days

6 0
2 years ago
What is 2/3 + 1/2<br> In fraction form please .
vazorg [7]

Answer: 7/6 or 1 and 1/6

Step-by-step explanation:

2     1

  +

3     2

you have to make them have the same denominators(the number on the bottom of a fraction)

2/3--> 4/6

1/2---> 3/6

4/6+3/6=7/6 or 1 and 1/6

7 0
2 years ago
Read 2 more answers
Use the interactive to make a line that passes through the points 3'2 and -1'-1 slope
Oliga [24]

The required equation of the line passing the coordinates will be y = 3/4x - 1/4

<h3 /><h3>Equation of a line</h3>

The standard equation of a line is expressed as y= mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points on a line (3, 2) and (-1, -1)

Slope = -1-2/-1-3

Slope = 3/4

Determine the y-intercept

2 = 3/4(3) + b
2 = 9/4 + b

b = 2 - 9/4

b = -1/4

The required equation of the line passing the coordinates will be y = 3/4x - 1/4

Learn more on equation of a line here: brainly.com/question/18831322

#SPJ1

7 0
2 years ago
Worked 16 3/4 hours in past two days and plan to work 12 3/4 hours in the next two days
Burka [1]

16 3/4 + 12 3/4

16 +12 = 28

3/4 +3/4 = 1 1/2

28 + 1 1/2 = 29 1/2 hours total

8 0
2 years ago
Other questions:
  • Please help work is due tomorrow. Thanks
    9·2 answers
  • You earn $10.00 per hour babysitting. Your total earnings depend on the number of hours you spend babysitting.
    10·1 answer
  • Can anyone helpppp???
    9·1 answer
  • Miguel finished his English assignment in 1/3 hours. Then he completed his history assignment in
    12·2 answers
  • A pool gained 10 gallons of water on Friday due to rain. How could the owner of the pool bring the water level back to its previ
    10·1 answer
  • What is the slope of the line. (-5,11) (-2,10)
    14·1 answer
  • Type the correct answer in each box. Use numerals instead of words. Bethany collected 200 survey responses regarding recycling b
    11·2 answers
  • Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.
    15·1 answer
  • Find value of X in the isosceles triangle shown below
    15·1 answer
  • What is the solution to this system of linear equations 3x 2y 14 5x y 32
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!