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just olya [345]
3 years ago
6

Find the slope of the line through each pair of points (-20,-4) and (-12,-10)

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

Answer:

y=-3/4x-19

Step-by-step explanation:

Download pdf
Vilka [71]3 years ago
6 0

Answer: -3/4x -19

Use formula y2 - y1

                      x2 - x1

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Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(0) = 2.8 y(t) = 0 Preview
mario62 [17]

Answer:  The required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

Step-by-step explanation:   We are given to solve the following differential equation :

5y^{\prime\prime}+3y^\prime-2y=0,~~~~~~~y(0)=0,~~y^\prime(0)=2.8~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

5m^2e^{mt}+3me^{mt}-2e^{mt}=0\\\\\Rightarrow (5m^2+3y-2)e^{mt}=0\\\\\Rightarrow 5m^2+3m-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow 5m^2+5m-2m-2=0\\\\\Rightarrow 5m(m+1)-2(m+1)=0\\\\\Rightarrow (m+1)(5m-1)=0\\\\\Rightarrow m+1=0,~~~~~5m-1=0\\\\\Rightarrow m=-1,~\dfrac{1}{5}.

So, the general solution of the given equation is

y(t)=Ae^{-t}+Be^{\frac{1}{5}t}.

Differentiating with respect to t, we get

y^\prime(t)=-Ae^{-t}+\dfrac{B}{5}e^{\frac{1}{5}t}.

According to the given conditions, we have

y(0)=0\\\\\Rightarrow A+B=0\\\\\Rightarrow B=-A~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

and

y^\prime(0)=2.8\\\\\Rightarrow -A+\dfrac{B}{5}=2.8\\\\\Rightarrow -5A+B=14\\\\\Rightarrow -5A-A=14~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (ii)}]\\\\\Rightarrow -6A=14\\\\\Rightarrow A=-\dfrac{14}{6}\\\\\Rightarrow A=-\dfrac{7}{3}.

From equation (ii), we get

B=\dfrac{7}{3}.

Thus, the required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

7 0
3 years ago
Want to know what differenciation and Calculus is all about?
Alla [95]
Differentiation is part of calculus
differentiation basically allows you to find the gradient of tangent
6 0
3 years ago
I need to know the values of m and n.
Darina [25.2K]

Answer:

A) 32 and 28

Step-by-step explanation:

A= √4².√2

= √16.√2

= √32

m= 32

B= √2². √7

=√4.√7

=√28

n= 28

3 0
2 years ago
Can someone please help me with this one? Tysm! ^^
lana [24]
2/3 x 3/4 =6/12=1/2
(Multiply numerators, multiply denominators, simplify)
4 0
2 years ago
When a large marketing company contracts with a payroll service company to process employee checks then they are
DaniilM [7]

Outsourcing is well known as just an exercise which takes occurs when a company, therefore the answer is "Option b" that is "Outsourcing", and the further discussion can be defined as follows:

  • It gives another business a task to perform or to undertake for them rather than themselves.
  • It is an agreement between the two companies, usually for a specified period.
  • It is made to be better efficient and to minimize the costs.
  • In the large marketing company agreements for worker cheques with such a payroll service provider, they outsource people.

Therefore, the final answer is "Option b".

Learn more:

brainly.com/question/2614785

5 0
3 years ago
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