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
Blababa [14]
3 years ago
7

I need help asap :(​

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Firstly, perpendicular line has a slope that is "negative reciprocal" of the given line's slope.

The equation of a line is  y = mx + b

Where m is the slope and b is the y-intercept

So, the given line has a slope of "-4", hence the perpendicular line would have a slope of "1/4". So immediately we can eliminate Answer Choice "A".

Now, let's see which of the other choices is our correct answer. Since we know this line has slope of "1/4", we can write:

y = (1/4)x + b

Given the point (4,5), we can replace "x" with "4" and "y" with 5 and find b:

y=\frac{1}{4}x+b\\5=\frac{1}{4}(4)+b\\5=1+b\\b=5-1\\b=4

So, the equation is:

y=\frac{1}{4}x+4

Correct answer is D

You might be interested in
Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie
melamori03 [73]

Answer:

The complete solution is

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

y = e^{mx}

Differentiating with respect to x

y'= me^{mx}

Again differentiating with respect to x

y''= m ^2 e^{mx}

Putting the value of y, y' and y'' in left side of the differential equation

3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0

\Rightarrow 3m^2-8m-3=0

The auxiliary equation is

3m^2-8m-3=0

\Rightarrow 3m^2 -9m+m-3m=0

\Rightarrow 3m(m-3)+1(m-3)=0

\Rightarrow (3m+1)(m-3)=0

\Rightarrow m = 3, -\frac13

The complementary function is

y= Ae^{3x}+Be^{-\frac13 x}

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)    

For particular integral

y_p=\frac 1{(3D+1)(D-3)} .4

    =4.\frac 1{(3D+1)(D-3)} .e^{0.x}    [since e^{0.x}=1]

   =4\frac{1}{(3.0+1)(0-3)}      [ replace D by 0 , since L(0)≠0]

   =-\frac43

The complete solution is

y= C.F+P.I

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

4 0
3 years ago
BRAINLIST and POINTS help
dimaraw [331]

Answer:

58

Step-by-step explanation:

9*a=63-b=58

because a=7 and b=5

brainliest?

8 0
3 years ago
Read 2 more answers
Find the distance between points P and B.
Ksivusya [100]
The distance of points P and B is 5
6 0
2 years ago
You are selling flowers for a fundraiser . You pay $ 1.50 for each flower plus a flot rate delivery fee of $ 15 . You are sellin
Feliz [49]

Answer:

15÷1 .50=10

Because you are already paying a flat rate of $15. You make 1.50 off of each flower. So you have to sell over 10 flowers to make a profit.

7 0
2 years ago
At the grocery store, Henry bought c pounds of cashews for $4.99 per pound. If he buys 2 pounds, how much will they cost?
Veronika [31]
The “c” pounds is a bit off putting if he only bought a pound. 2 pounds of Cashews would cost $9.98
3 0
3 years ago
Other questions:
  • Find the value of x in the triangle shown below.
    5·2 answers
  • Find the surface area of the prism. 6 in. 3 in. 12 in.
    13·1 answer
  • How would you determine the inverse of f(x) = √x - 4 ? ​
    9·1 answer
  • Stable electron configurations are likely to contain ____.
    15·2 answers
  • Please help with this question
    9·2 answers
  • Hellppp idoms<br>will mark brainleiest ​
    14·2 answers
  • HeLLPPPP PLLLSs!!!!!
    14·1 answer
  • Help me plz!Help me plz
    13·2 answers
  • Plss help is this linear or non-linear??
    10·2 answers
  • Find the zeros using the quadratic formula x^2-5x+4=y.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!