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
Galina-37 [17]
2 years ago
15

Distinguish the second expression from the first expression

Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0

Answer:

8a+10b

Step-by-step explanation:

it is due to the addtion between 2 numbers

You might be interested in
Calc 3 iiiiiiiiiiiiiiiiiiiiiiiiiiii
Lilit [14]

Take the Laplace transform of both sides:

L[y'' - 4y' + 8y] = L[δ(t - 1)]

I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :

(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]

s²Y - 4sY + 8Y = exp(-s)

(s² - 4s + 8) Y = exp(-s)

Y = exp(-s) / (s² - 4s + 8)

and complete the square in the denominator,

Y = exp(-s) / ((s - 2)^2 + 4)

Recall that

L⁻¹[F(s - c)] = exp(ct) f(t)

In order to apply this property, we multiply Y by exp(2)/exp(2), so that

Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)

Then taking the inverse transform, we have

L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]

L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]

L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]

Next, we recall another property,

L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)

where F is the Laplace transform of f, and u(t) is the unit step function

u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}

To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is

L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)

Then we find

L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))

and so we end up with

y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)

7 0
2 years ago
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
Gre4nikov [31]

Answer: point form (-1,-2)

Equation form x=-1 y=-2

Step-by-step explanation:

7 0
2 years ago
19)
Elena-2011 [213]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

3(x + 2) + x = 2x + 16

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20

Putting x = 3

3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22

Putting x=4

3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24

Putting x = 5

3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

6 0
2 years ago
Use the given graph to determine the limit, if it exists. A
Dmitriy789 [7]
Check the picture below.

4 0
3 years ago
Question 3 (open to see pic)
melamori03 [73]
The points (1,-2) and (4,16) are not in the line but the point (-3,-18) is on the line. (Work is shown in the image)

8 0
3 years ago
Other questions:
  • A square garden has an area of 182 square feet about how many feet of fencing do u need
    11·1 answer
  • Write each fraction as a decimal. Round to the nearest hundredth if necessary.<br> 5/3
    8·2 answers
  • XYZ Company declares dividends of $50,000. Samuel Smith owns 50 shares of stock. The company has sold 25,000 total shares of sto
    14·2 answers
  • What is the positive difference between the square of the sum of the first five positive integers and the sum of the first five
    12·1 answer
  • a large clock has a face that is shaped like a circle the circumference of the circle is 5 feet which measurement is closest to
    6·1 answer
  • Using the ratio 3 dogs to 2 cats if you had 15 dogs how many cats would there be
    11·2 answers
  • please help giving brainlest!!due in a few minutes!! -write the equation shown in the number line and solve.
    6·2 answers
  • Can a wheel make 72 revolutions per minute
    9·1 answer
  • What is the tan A?<br><br> No random answers pls
    7·2 answers
  • Calculate the amount of work done when moving a 567 N crate a distance of 20 meters
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!