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
Pie
3 years ago
8

6. The equation of line A is 3x + 6y - 1 = 0. Give the equation of a line that passes through the

Mathematics
1 answer:
Pavel [41]3 years ago
7 0
Step 1: Convert to slope-intercept form to find the slope of the line.

This isn't necessary if you know all the shortcuts, it just makes your life a bit easier.

3x+6y-1=0\\6y=-3x+1\\y=-\frac{3}{6}x+\frac{1}{6}\\-\frac{1}{2}x+\frac{1}{6}

Now we want to find the equations for our new lines. It's easiest to do this in slope-intercept form, so let's start finding the slope and y-intercept.

So for the perpendicular line, the slope is going to flip and change signs, this is aka its opposite reciprocal.
And for the parallel line, it'll stay the same.

-\frac{1}{2} ⇒ \frac{2}{1}=2
-\frac{1}{2} ⇒ -\frac{1}{2}

As for the y-intercept, just apply that slope until you get a point where x=0.

(5, 1) with a rise of 2 and a run of 1...let's work backwards to (0, b)
(5, 1), (4, -1), (3, -3), (2, -5), (1, -7), (0, -9).

(5, 1) with a rise of -1 and a run of 2...let's work backwards to (0, b)
(5, 1), (3, 0), (1, -1)...gonna have to take half a step here...(0, -1.5).

Now let's construct our equations in slope-intercept form.

y = 2x-9\\y=-\frac{1}{2}x-\frac{3}{2}

And now it's time to convert to general form!

Make sure we have common denominators...check.

Multiply by the denominator...

y=2x-9\\2y=1x-3

...check.

Aaaand bring everything over!

\boxed{-2x+y-9=0}\\\boxed{-x+2y-3=0}

You might be interested in
If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the d
aliina [53]

Answer:

210 by 120

Step-by-step explanation:

perimeter=2l+2w

length= 2w-30

width= w

2(2w-30+w) = 660

6w-60= 660

6w= 720

w=120

length= 2*120-30 = 210

6 0
2 years ago
PLEASE help! Math help? :)
stepan [7]
Answer: 39.2

Check out the attached image

============================================================

Explanation:

Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached. 

Let m = length of side XZ

We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram

Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38

Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m = 39.2

So XZ is roughly 39.2 feet in length

4 0
3 years ago
evaluate the fermi function for an energy KT above the fermi energy. find the temperature at which there is a 1% probability tha
dybincka [34]

Complete Question

Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.

Answer:

a

The Fermi function for the energy KT is  F(E_o) =  0.2689

b

The temperature is  T_k  =  1261 \  K

Step-by-step explanation:

From the question we are told that

   The energy considered is  E = 0.5 eV

Generally the Fermi  function is mathematically represented as

       F(E_o) =  \frac{1}{e^{\frac{[E_o - E_F]}{KT} } + 1 }

    Here K is the Boltzmann constant with value k = 1.380649 *10^{-23} J/K

            E_F  is the Fermi energy

            E_o  is the initial energy level which is mathematically represented as

     E_o = E_F + KT

So

     F(E_o) =  \frac{1}{e^{\frac{[[E_F + KT] - E_F]}{KT} } + 1}

=>   F(E_o) =  \frac{1}{e^{\frac{KT}{KT} } + 1}

=>   F(E_o) =  \frac{1}{e^{ 1 } + 1}

=>   F(E_o) =  0.2689

Generally the probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron is mathematically represented by the  Fermi  function as

     F(E_k) =  \frac{1}{e^{\frac{[E_k - E_F]}{KT_k} } + 1 }  = 0.01

HereE_k is that energy level that is  0.5 ev above the Fermi energy  E_k = 0.5 eV  + E_F

=>   F(E_k) =  \frac{1}{e^{\frac{[[0.50 eV + E_F] - E_F]}{KT_k} } + 1 }  = 0.01

=>   \frac{1}{e^{\frac{0.50 eV ]}{KT_k} } + 1 }  = 0.01

=>   1 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} } + 0.01

=>   0.99 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} }

=>   e^{\frac{0.50 eV ]}{KT_k} }  = 99

Taking natural  log of both sides

=>   \frac{0.50 eV }{KT_k} }  =4.5951

=>    0.50 eV   =4.5951 *  K *  T_k

Note eV is electron volt and the equivalence in Joule is     eV  =  1.60 *10^{-19} \  J

So

     0.50 * 1.60 *10^{-19 }   =4.5951 *  1.380649 *10^{-23} *  T_k

=>   T_k  =  1261 \  K

7 0
2 years ago
Pls help I am terrible at math <br><br> 1. 9(k+3)=27 combine like terms
Pachacha [2.7K]

Answer:

1.9k=21.3

Step-by-step explanation:

1.9k+5.7=27 then subtract 5.7 from 27 and have 1.9k=21.3

4 0
3 years ago
Read 2 more answers
Is this answer correct?
aivan3 [116]
No, the correct answer is C
A function gives only a single output to an input
8 0
3 years ago
Other questions:
  • You are playing tennis with a friend.The path of the tennis ball after you return to a serve can be modeled by the function y=-0
    14·1 answer
  • Find the midpoint of the line segment joining the points R(-3,3) and S(1,6).<br> The midpoint is
    9·2 answers
  • What is 3x+5Y=15for y
    11·1 answer
  • What’s the answer I’m confused
    14·1 answer
  • A circle is centered at (5, 4) and has radius 6. Write its equation in standard form.
    11·1 answer
  • A = 4 units B= 3 units C= 3.5. D= 5 units
    13·1 answer
  • What is the square root of 8 rounded to the nearest tenth?
    10·1 answer
  • QN (b) plz solve it fast ​
    15·1 answer
  • Help I will be marking brainliest!!!
    9·2 answers
  • There are 8 marbles in a bag, all of different colors. In how many orders can 4 marbles be chosen? In other words, what is the
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!