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2 years ago

If 4x -8y + 9 = 0 and 3y + Mx + 1 0 are parallel find the value of m

Mathematics

1 answer:

Klio2033 [76]2 years ago

8 0

Step-by-step explanation:

please mark me as brainlest

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Show the Distributive property of division over addition and subtraction plz!

Fed [463]

The distributive property of division over addition and substraction is idk

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3 years ago

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What is the given amount converted to the given units 144 ft; inches

Tatiana [17]

Final Answer: $1728$ inches

Steps/Reasons/Explanation:

Question: What is the given amount converted to the given units 144 ft; inches?

Formula to convert feet to inches: Multiply the length value by 12.

<u>Steps</u>: Multiply 144 by 12

$144$ × $12$ = $1728$ inches

~I hope I helped you :)~

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2 years ago

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Help me with differentation and integration please!!

Marina86 [1]

Answer:

See below

Step-by-step explanation:

$\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x$

Recall

$\dfrac{d}{dx}\tan x=\sec^2$

Using the chain rule

$\dfrac{dy}{dx}= \dfrac{dy}{du} \dfrac{du}{dx}$

such that $u = \tan x$

we can get a general formulation for

$y = \tan^n x$

Considering the power rule

$\boxed{\dfrac{d}{dx} x^n = nx^{n-1}}$

we have

$\dfrac{dy}{dx} =n u^{n-1} \sec^2 x \implies \dfrac{dy}{dx} =n \tan^{n-1} \sec^2 x$

therefore,

$\dfrac{d}{dx}\tan^3 x=3\tan^2x \sec^2x$

Now, once

$\sec^2 x - 1= \tan^2x$

we have

$3\tan^2x \sec^2x = 3(\sec^2 x - 1) \sec^2x = 3\sec^4x-3\sec^2x$

Hence, we showed

$\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x$

================================================

For the integration,

$\int \sec^4 x\, dx$

considering the previous part, we will use the identity

$\boxed{\sec^2 x - 1= \tan^2x}$

thus

$\int\sec^4x\,dx=\int \sec^2 x(\tan^2x+1)\,dx = \int \sec^2 x \tan^2x+\sec^2 x\,dx$

and

$\int \sec^2 x \tan^2x+\sec^2 x\,dx = \int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx$

Considering $u = \tan x$

and then $du=\sec^2x\ dx$

we have

$\int u^2 \, du = \dfrac{u^3}{3}+C$

Therefore,

$\int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx = \dfrac{\tan^3 x}{3}+\tan x + C$

$\boxed{\int \sec^4 x\, dx = \dfrac{\tan^3 x}{3}+\tan x + C }$

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2 years ago

What is the term-to-term rule for this sequence?<br> 4, 12, 36, 108, 324

kompoz [17]

Answer:

Step-by-step explanation:

you time the previous number by 3 to get the next number

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3 years ago

15 roses cost 33.75 how much will 27 roses cost

luda_lava [24]

Answer:

60.75

Step-by-step explanation:

First, you need to see how much one rose costs.

33.75/15 is 2.25

Next, you need to find out how many 27 roses costs.

2.25*27 is 60.75

Now you have your answer.

Hope this helps and is right!

5 0

2 years ago