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3 years ago

What would go in the blank?

Mathematics

2 answers:

luda_lava [24]3 years ago

8 0

Answer:44

Step-by-step explanation:

Because all angles are the same on a triangle

navik [9.2K]3 years ago

6 0

Answer:

44 degrees

Step-by-step explanation:

its an equilateral triangle. a, b, and c are all 44

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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

What is 5(4x+3)= simplified

cluponka [151]

5(4x+3)=0

20x+15=0

20x = -15

$x = \frac{ - 15}{20}$

$x = \frac{ - 3}{4}$

4 0

3 years ago

Read 2 more answers

5x +2 =22<br><br>what is the answer?

elena55 [62]

Answer:

x=4

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Need help and I need to show my work ?? Can someone help

vodka [1.7K]

Answer is D.
Just plug in 2 for x and -2 for y. And solve

7 0

3 years ago

Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is o

muminat

2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.

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3 years ago