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2 years ago

If 8a + 7b + c = 9, what is -6c - 48a - 42b

Mathematics

2 answers:

maksim [4K]2 years ago

6 0

Answer:

-54

Step-by-step explanation:

8a + 7b + c = 9

We want -6c, but we have c in the equation so multiply by -6

-6(8a + 7b + c) = 9*-6

-48a -42b -6c = -54

Rearranging the equation

-6c - 48a - 42b = -54

Alexxandr [17]2 years ago

4 0

The correct answer is -54

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Please help me. I need help

mel-nik [20]

<h3>Answer:</h3>

a. -(3√13)/13

<h3>Step-by-step explanation:</h3>

The cosine can be found from the tangent by way of the secant.

tan(θ)² +1 = sec(θ)² = 1/cos(θ)²

Then ...

cos(θ) = ±1/√(tan(θ)² +1)

The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.

cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)

cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A

3 0

3 years ago

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what is the absolute value of -8? Use the number line to help anwser the question HELP MEEEE A: -16. B= -8 C= 8 D= 16

GREYUIT [131]

Answer:

Step-by-step explanation:

It wo be B= -8

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2 years ago

Mark the statements that are true.

lara [203]

Answer:

Correct answers:

A. An angle that measures $\frac{\pi}{6}$ radians also measures $30^o$

C. An angle that measures $180^o$ also measures $\pi$ radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians$

Therefore we can investigate each of the statements, and find that when we have a $\frac{\pi}{6}$ radians angle, then its degree formula becomes:

$\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o$

also when an angle measures $180^o$ , its radian measure is:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi$

The other relationships are not true as per the conversion formulas

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2 years ago

Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w

Tom [10]

Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

Now,

using the property of log function that

logₐ(b) = $\frac{\log(b)}{\log(a)}$

thus,

Therefore, applying the above property, we get

⇒ $\frac{\log(3125)}{\log(5)}$ (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒ $\frac{\log(5^5)}{\log(5)}$

Now,

we know from the properties of log function that

log(aᵇ) = b × log(a)

therefore applying the above property we get

⇒ $\frac{5\log(5)}{\log(5)}$

⇒ 5

Hence,

log₅(3125) = 5

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2 years ago

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docker41 [41]

Answer:

Slope: −1

y-intercept: (0,3)

Step-by-step explanation:

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2 years ago

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