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
Drupady [299]
3 years ago
9

Describe the possible configurations and the possible number of points of intersection of (a) 2 lines in the plane (b) 3 lines i

n the plane (c) 2 lines in space (d) 3 planes in space.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:  The answer is given below.


Step-by-step explanation: The description is as follows:

(a)<u> </u>2 lines in the plane : Any two lines in a plane can either be parallel or intersect at only one point.

(b) 3 lines in the plane : Any three lines in a plane may intersect at a point, if so, they are called concurrent lines, or they may never intersect.

(c) 2 lines in space :  There are exactly three possibilities.

* The two lines are distinct and they have no points in common.

* The two lines are distinct and they have exactly one point in common.

* The two lines are really the same line and they have all of their points in common.

(d) ) 3 planes in space : Here also, we have three possibilities:

* The three planes are distinct and they have no points in common.

* The three planes share exactly one point.

* The three planes share infinitely many points, i.e., they could all share a line or they could all be the same plane.

You might be interested in
Use the compass and ruler to construct the bisector of the angle given below.
soldier1979 [14.2K]
Okay so I think you go south now give me ma points
8 0
3 years ago
Giving brainliest to the person who answers correctly. <br> What type of angles are these?
siniylev [52]

Answer: I believe those would be opposite angles (aka vertically opposite angles).

4 0
2 years ago
Ben and Josh went to the roof of their 40-foot tall high school to throw their math books offthe edge.The initial velocity of Be
Taya2010 [7]

Answer

Josh's textbook reached the ground first

Josh's textbook reached the ground first by a difference of t=0.6482

Step-by-step explanation:

Before we proceed let us re write correctly the height equation which in correct form reads:

h(t)=-16t^2 +v_{o}t+s       Eqn(1).

Where:

h(t) : is the height range as a function of time

v_{o}   : is the initial velocity

s     : is the initial heightin feet and is given as 40 feet, thus Eqn(1). becomes:

h(t)=-16t^2 + v_{o}t + 40        Eqn(2).

Now let us use the given information and set up our equations for Ben and Josh.

<u>Ben:</u>

We know that v_{o}=60ft/s

Thus Eqn. (2) becomes:

h(t)=-16t^2+60t+40        Eqn.(3)

<u>Josh:</u>

We know that v_{o}=48ft/s

Thus Eqn. (2) becomes:

h(t)=-16t^2+48t+40       Eqn. (4).

<em><u>Now since we want to find whose textbook reaches the ground first and by how many seconds we need to solve each equation (i.e. Eqns. (3) and (4)) at </u></em>h(t)=0<em><u>. Now since both are quadratic equations we will solve one showing the full method which can be repeated for the other one. </u></em>

Thus we have for Ben, Eqn. (3) gives:

h(t)=0-16t^2+60t+40=0

Using the quadratic expression to find the roots of the quadratic we have:

t_{1,2}=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\t_{1,2}=\frac{-60+/-\sqrt{60^2-4(-16)(40)} }{2(-16)} \\t_{1,2}=\frac{-60+/-\sqrt{6160} }{-32} \\t_{1,2}=\frac{15+/-\sqrt{385} }{8}\\\\t_{1}=4.3276 sec\\t_{2}=-0.5776 sec

Since time can only be positive we reject the t_{2} solution and we keep that Ben's book took t=4.3276 seconds to reach the ground.

Similarly solving for Josh we obtain

t_{1}=3.6794sec\\t_{2}=-0.6794sec

Thus again we reject the negative and keep the positive solution, so Josh's book took t=3.6794 seconds to reach the ground.

Then we can find the difference between Ben and Josh times as

t_{Ben}-t_{Josh}= 4.3276 - 3.6794 = 0.6482

So to answer the original question:

<em>Whose textbook reaches the ground first and by how many seconds?</em>

  • Josh's textbook reached the ground first
  • Josh's textbook reached the ground first by a difference of t=0.6482

3 0
3 years ago
6.3 x 10'-8 in standard notation
iris [78.8K]
6.3 x 10'-8
63 - 8
55

55 is the answer
5 0
3 years ago
Javine says, "To multiply by 1000, I just add three zeros." Kian says, "I times by 10, then times by 10 and times by 10 again."
aksik [14]

Answer:

Kian's method is correct.

Step-by-step explanation:

Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.

Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.

8 0
2 years ago
Other questions:
  • How many zeros are in the product of 400*80000
    13·1 answer
  • A plane flies round-trip to Philadelphia. It flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 mi
    11·1 answer
  • Mr. Snorkel drove 169 miles in 3 h 30 min. Find the rate in miles per hour
    7·1 answer
  • In this arithmetic sequence the difference between each pair of consecutive terms is 1/2 Find the next term in the sequence expr
    14·1 answer
  • I hate fractions, the answer/explanation would help me with my other problems with fractions​
    8·2 answers
  • For f(x) = x3 – 7x2 + 8x + 16, a. Find f(10) using synthetic division.
    12·1 answer
  • Does this EVER end? All help appreciated
    13·2 answers
  • James wants to compete in the international speed texting competition next year where participants compete on text speed and acc
    8·1 answer
  • Navigators locate an object by measuring its location clockwise direction from due north. The measure of the angle is called the
    5·1 answer
  • A coca cola costs 150 yen. You buyed 30 bottles of cola and sold them at the price of 155 yen each. Find profit %​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!