All categories

3 years ago

Plz help I need it!!!!!!!!!!!!

Mathematics

1 answer:

AlekseyPX3 years ago

8 0

Answer:

114°

Step-by-step explanation:

$? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree$

You might be interested in

What is 62,394 rounded to the nerest ten

bekas [8.4K]

Answer: 62,390

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the missing term of the following sequence. . . . –2, __, 456, . . .

masha68 [24]

The answer should be

228

3 0

3 years ago

Read 2 more answers

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find

9966 [12]

Answer:

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

Step-by-step explanation:

Step(i):-

Given Differential equation y'' − 5 y' + 4 y = x

Given equation in operator form

D²y - 5 Dy + 4 y = x

⇒ ( D² - 5 D + 4 ) y =x

⇒ f(D) y = Q

where f(D) = D² - 5 D + 4 and Q(x) = x

The auxiliary equation f(m) =0

m²-5 m + 4 =0

m² - 4 m - m + 4 =0

m ( m -4 ) -1 ( m-4) =0

(m - 1) =0 and ( m-4) =0

m = 1 and m =4

The complementary function

$Y_{c} = C_{1} e^{x} + C_{2} e^{4x}$

Step(ii):-

particular integral

Particular integral

$y_{p} = \frac{1}{f(D)} Q(x) = \frac{1}{D^{2} - 5 D + 4} X$

taking common '4'

$= \frac{1}{4(1 + (\frac{D^{2} - 5 D}{4} ))} X$

$=\frac{1}{4} (1 + (\frac{D^{2} -5D}{4})^{-1} )} X$

applying binomial expression

( 1 + x )⁻¹ = 1 - x + x² - x³ +.....

$=\frac{1}{4} (1 - (\frac{D^{2} -5D}{4}) +((\frac{D^{2} -5D}{4})^{2} -...} )X$

Now simplifying and we will use notation D = $\frac{dy}{dx}$

$=\frac{1}{4} (x - (\frac{D^{2} -5D}{4})x +((\frac{D^{2} -5D}{4})^{2}(x) -...}$

Higher degree terms are neglected

$=\frac{1}{4} (x - (\frac{ -5 D}{4}) x)$

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

Final answer:-

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

4 0

3 years ago

2p + 194.99 = 284.97

Lostsunrise [7]

Answer: true

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which of the following expressions are equivalent? Why? If an expression has no match, write 2 equivalent

ANTONII [103]

Answer:

a and b are equivalent.

c, d and e are not equivalent.

So, 2 equivalent expression for c and are,

( i ) 2 ( x + 2 )

( ii ) ( 4x + 8 ) / 2

( i ) 3x + 16

( ii ) ( 6x + 32 ) / 2

Step-by-step explanation:

2 ( x + 4 )

= 2 ( x ) + 2 ( 4 )

= 2x + 8

8 + 2x can also be written as 2x + 8.

3 ( x + 4 ) + ( 4 + x )

= 3 ( x ) + 3 ( 4 ) + 4 + x

= 3x + 12 + 4

= 3x + 16

8 0

2 years ago

Read 2 more answers