All categories

3 years ago

Help on all 4 please! The abbreviations are: Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer:

im pretty sure the answers are

6) c

7) c

8) c

9) a

Step-by-step explanation:

You might be interested in

Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

djverab [1.8K]

I'll assume the ODE is

$y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}$

Solve the homogeneous ODE,

$y'' - 3y' + 2y = 0$

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

$y'' - 3y' + 2y = e^{2x}$

take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

Substitute (2) into the ODE to get

$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

Lastly, for the nonhomogeneous ODE (3)

$y'' - 3y' + 2y = e^{-x}$

take the ansatz

$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

and solve for $c$ .

$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

Then the general solution to the ODE is

$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

6 0

1 year ago

Your mother gave you $13.32 to buy a present. This covered 1/5 of the cost. How much did the present cost?

Nady [450]

Answer:

$66.60

Step-by-step explanation:

Step 1 so she gave you 13.32 and covers 1 fifth of the cost so you have to times 13.32 by 5 to get how much does the present cost so the total after I times 13.32 by5 equals $66.60

6 0

3 years ago

Alligators lay between 20 and 50 eggs in a nest. A park ranger in Everglades national park counted the number of eggs in 28 nest

zlopas [31]

40×28= the answer is 1,120 eggs that he counted

5 0

3 years ago

Relationship in Figures

lubasha [3.4K]

Answer:

B. 1,1,2,3,5,8,13,21

Step-by-step explanation:

I calculated it logically

8 0

3 years ago

What's 1 + 1? Get it correct for free points.

Taya2010 [7]

................2...............

6 0

2 years ago

Read 2 more answers