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
zhannawk [14.2K]
3 years ago
11

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

Mathematics
1 answer:
alexdok [17]3 years ago
5 0

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

\tan \theta=1\\\theta=\tan^{-1}(1)

We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

You might be interested in
Can someone pls help me<br> Pls
lora16 [44]

Answer:

help u with what? Say what u need

5 0
2 years ago
I NEED HELP (I’m sooo dumb lol)
statuscvo [17]
To make a box and whisker plot, first you write down all of the numbers from least to greatest.

0, 1, 3, 4, 7, 8, 10

The median is 4, so that’s the middle line of the plot.

So now we have:
0, 1, 3, [4,] 7, 8, 10

So next we have to find the 1st and 3rd interquartiles..
0, [1,] 3, [4,] 7, [8,] 10

Those are the next 2 points you put on the plot.

Lastly, the upper and lower extremes. These are the highest and lowest numbers in the data.
[0,] 1, 3, 4, 7, 8, [10]

These are the final points on the plot.

To make the box of a box-and-whisker plot, you plot the 3 Medians of the data: 1, 4, and 8, and connect those to make a box that has a line in the middle at 4.

Next, you plot the upper and lower extremes: 0 and 10, by making “whiskers” that connect to the box. So you draw a line from the extremes to the box.
7 0
3 years ago
Elena surveyed her classmates to see how many like to make jewelry. When she asked 20 of her classmates, 50 percent said they li
nordsb [41]

10 students of Elena's classmates like to make jewellery.

<u>Step-by-step explanation:</u>

Let total no.of classmates who liked the jewellery = x

Here, in the given problem, given she asked her classmates '20'. So, it clearly shows that total number of students/classmates = 20. Also, in that, 50% said like to make jewellery. Now find 'x' as below,

                    x = 50 \% \text { of } 20

                    x = \frac{50}{100} \times 20

                    x = 10

Hence, the total number of classmates who liked to make Jewellery = 10

5 0
3 years ago
Five adult tickets and three child tickets for a movie costs £55. The cost of buying two adult tickets and three child tickets i
Allisa [31]

Answer:

  • adult £8
  • child £5

Step-by-step explanation:

If you look at the numbers you are given, you see that the first purchase has 3 more adult tickets than the second purchase, and its cost is £24 more. This means an adult ticket costs £24/3 = £8.

Two adult tickets will cost 2×£8 = £16, so three child tickets cost ...

  £31 -16 = £15

Each child ticket is then £15/3 = £5.

An adult ticket costs £8; a child ticket costs £5.

7 0
3 years ago
Witch of the s-values satisfy the following inequality?
levacccp [35]

Answer:

the possible answer would be A, 6.

Step-by-step explanation:

6/2 is equal to 3 wholes. 7 minus 3 is 4. the sign > is used to indicate that the left number is greater than the right number, which is 3.  4 > 3 would be shown. this means that 6, or A, is the answer! :)

(6 IS ALSO THE ONLY OPTION. I NOTICED IT SAYS “ALL ANSWERS“

7 0
3 years ago
Other questions:
  • the states C&amp;D spend a total of 55.6 million dollars for tourism the state C spends 3.2 million dollars more than State D fi
    7·1 answer
  • Given the area of a triangle is 40 cm2, if its altitude is 8 cm, its base is 15 cm.
    7·1 answer
  • Can someone help me will mark brainliest!
    13·1 answer
  • plzz help with this one last problem ill give you the brainless answer if you give me the answer for sure and I promise I won't
    14·2 answers
  • Subtract 2/3 and 1/4. ​
    13·2 answers
  • Will mark brainliest for having the steps.<br> prove tan(2x) = tan(x+x)
    11·2 answers
  • Find the solution set of the following equations: <br><br>2y=2x+7<br><br>X=y+2
    14·1 answer
  • Divide 345609875by 13​
    11·1 answer
  • Evaluate x + y2 (2+ x) if x + 3 and y = -1
    13·1 answer
  • I really need help and if you give wrong answer or link then you are gonna be reported!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!