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3 years ago

Given: -3(2x + 7) = -29 – 4x; Prove: x = 4

Mathematics

1 answer:

sergey [27]3 years ago

8 0

Answer:

See steps below

Step-by-step explanation:

-3(2x+7)=-29-4x

Use the distributive property

-6x-21=-29-4x

Add 21 to each side

-6x=-8-4x

Add 4x to both sides

-2x=-8

Divide by -2

x=4

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.

KengaRu [80]

We have the following expression

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})$

This is equivalent to

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})$

Since

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi$

we have that

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})$

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1 year ago

Liam has $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them

Semenov [28]

Answer: The required expression will be

$\frac{6000-p}{24}$

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

$250-\frac{p}{24}\\\\=\frac{6000-p}{24}$

Hence, the required expression will be

$\frac{6000-p}{24}$

4 0

3 years ago

Read 2 more answers