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
sasho [114]
3 years ago
14

Find the obtuse angle the line y-2x=7 makes with the x- axis

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to

tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

<span>y-2x=7
y = 2x+7
dy/dx = 2 =m

So,

tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
You might be interested in
Aubreys dinner cost $85 she tips the waitstaff 30% for excellent service
Pavel [41]

Answer:

25.5

Step-by-step explanation:

4 0
3 years ago
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
4 years ago
Find the distance between each pair of points <br>L(-7,0) ,Y(5,9)​
Sedbober [7]

Answer:  The distance is 15

Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

-7-5= -12

0-9 = -9

12^2 + 9^2 = d^2   where d is the distance

144 + 81 = d^2

225 = d^2

d= \sqrt{225}  

d= 15

3 0
3 years ago
Select the equation that represents the following graph<br>​
stiks02 [169]

Answer:

there is nothing atttached or no options given

Step-by-step explanation:

3 0
3 years ago
Solve : h /24 = - 6
docker41 [41]

Answer:

h = -144

you multiply 24 and -6 to get -144.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the Divisor for equivalent fraction ?<br> 4/12=1/3
    15·1 answer
  • How many points need to be removed from this graph so
    15·1 answer
  • Suppose you roll a number cube and flip a coin/
    7·1 answer
  • 9 to 2
    7·1 answer
  • 'What is the surface area, in square inches, of an 8-inch
    5·1 answer
  • What value of t makes the following equation true?<br> 3(t−2)=−1
    5·2 answers
  • Solve the simultaneous equations, 2x+4y = 1
    12·1 answer
  • Find the distence between each pair points (-4,-1) (-3,3)​
    15·2 answers
  • Which expression is equivalent to ? A. B. C. D.
    14·2 answers
  • Line I is shown below<br> Right triangles A B C and DEF are drawn to measure the slope of the line
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!