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
goldenfox [79]
3 years ago
15

What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ?

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer

the equation of a line that is perpendicular to −x+3y=9 is y=-3x-7

Step-by-step explanation:

Equation of given line is −x+3y=9

we write the equation in y =mx+b to find slope of given line (m)

−x+3y=9

Add x on both sides

3y = x+ 9

Divide by 3 on both sides

y=\frac{1}{3} x + 3

Slope of given line = 1/3

Slope of perpendicular line is the negative reciprocal of slope of given line

Slope of perpendicular line = -3

Perpendicular line passes through point (-3,2) that is (x1,y1)

Now we use point slope equation

y - y1 = m (x-x1)

y - 2 = -3(x-(-3))

y - 2= -3(x+3)

y -2 = -3x -9

Add 2 on both sides

y = -3x - 7



You might be interested in
Y^3-27=9y^2-27y how to factor
Kryger [21]
Hello! And thank you for your question!

First we are going to redo the equation:

<span><span><span>y<span><span>​^3</span><span>​​</span></span></span>−3<span>y^<span><span>​2</span><span>​​</span></span></span>(3)+3(y)×<span>3<span><span>​^2</span><span>​​</span></span></span>−<span>3<span><span>​^3</span><span>​​</span></span></span>=0

Then we are going to use Cube of Difference:

0 = (y - 3)^3

That take cube root of both sides:

0 = y - 3

Finally add 3 to both sides:

3 = y

Final Answer:

y = 3</span></span>
4 0
3 years ago
Please help! Need to confirm my answers.
MariettaO [177]

Answer:

Step-by-step explanation:

Average rate of change is Δy / Δx.

For f(x):

[ f(1) - f(0) ] / (1 - 0)

(1 - 3) / (1 - 0)

-2

For g(x):

[ g(1) - g(0) ] / (1 - 0)

(4 - 3) / (1 - 0)

1

6 0
3 years ago
Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +
nevsk [136]

Answer:

x_2 \approx -1.769

Step-by-step explanation:

Let f(x)=x^3+x+7

So f'(x)=3x^2+1

x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}

Let x_1=-2

We are going to find x_2

So we are evaluating -2-\frac{f(-2)}{f'(-2)}

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3

f'(-2)=3(-2)^2+1=3(4)+1=12+1=13

So

x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769

5 0
3 years ago
Simplify the expression:<br> 5 + 9f - 10 + 5
nirvana33 [79]

Answer:

You only have to sort (numbers with numbers and variables with variables) then do the operations (+/-).

Step-by-step explanation:

5 + 9f - 10 + 5 \\  - 5 + 9f + 5 \\ 0 + 9f \\ 9f

3 0
2 years ago
Read 2 more answers
How do you The the answer of equation of the boundary line &amp; to write the inequality whose graph is shown? How do you work i
Firlakuza [10]
This is the equation
y =  - 1x





good luck
3 0
3 years ago
Other questions:
  • The equation below describes a parabola. If a is positive, which way does the parabola open? x=ay^2
    14·1 answer
  • Help please!!!!]
    11·2 answers
  • Identify the correct slope and y intercept of the equation 6x – 3y = 12
    9·2 answers
  • Tell whether the statement shown below is true or false. If false, give the reason. {51, 52, 51, 52} = {51, 52} O A. False; the
    10·1 answer
  • A plane is a figure. The intersection of two planes that do not coincide (if it exists) is a .
    6·2 answers
  • Translate then simplify <br><br> A number n decreased by the difference nine and the number
    11·1 answer
  • Find the value of the following expression:<br> 5 3/5 ÷ 1 1/2 = ????
    12·1 answer
  • Mom used 1/2 package of pepperoni putting an equal amount on each of the three pizza she made what fration of the package of pep
    8·1 answer
  • Simplify. 46 4 x 4 x 4 x 4 x 4 x 4 6 x 6 x 6 x 6 4 + 4 + 4 + 4 + 4 + 4 6 + 6 + 6 + 6
    8·1 answer
  • Can anyone please solve this for me right now?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!