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3 years ago

Type the correct answer in the box.

Mathematics

1 answer:

rewona [7]3 years ago

3 0

Answer:

w=V/lh

Step-by-step explanation:

V=lwh /:lh

$\frac{v}{lh} = w$

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Please help!!! ill give brainliest!!!

OLEGan [10]

Answer:

the second one

Step-by-step explanation:

if you guys can go to my profile and answer my recent question, id appreciate it w

4 0

3 years ago

Read 2 more answers

Which equation would you find to solve 9ˣ=15 for x?

Tresset [83]

$9^x=15\\
x=\log_915$

5 0

4 years ago

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

Help asap help asap for a brainlist

Lunna [17]

Answer:

x=4

Step-by-step explanation:

Step 2 and 3 are incorrect,

4x+8 = 24

24-8 = 16

it should then be 4x=16

you then divide by 4 on each side

x=4

3 0

3 years ago

What is the answer to 8x-9=12+11x

mrs_skeptik [129]

Answer:

x = -7

Step-by-step explanation:

8x - 9 = 12 + 11x

Subtract 11x to both sides of the equation. Then, it will look like this:

-3x - 9 = 12

Add 9 to both sides of the equation. After that, it will look like this:

-3x = 21

Divide both sides of the eqution by -3. Your answer is:

x = -7

3 0

4 years ago