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anzhelika [568]
3 years ago
7

Please Simplify 5(x - 6)

Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0

Final Answer: 5x - 30

Steps/Reasons:

Question: Simplify 5(x - 6)

<u>Step 1</u>: Expand by distributing the terms.

5x + 5 × -6

<u>Step 2</u>: Simplify 5 × -6 to -30.

5x - 30

~I hope I helped you :)~

nordsb [41]3 years ago
4 0

Our equation looks like:

5(x-6)

This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (<em>Note: you only distribute when variables are involved.)</em>

(5 \cdot x)-(5 \cdot 6)

Simplify:

5x-30

We cannot simplify any further, so we know that our equation, until we know what x equals, is 5x - 30.

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3 years ago
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Please help me....Use the Pythagorean identity
RideAnS [48]

Using the Pythagorean identity, the value of the cosine ratio is \cos(\theta_1) =  \frac{84}{85}

<h3>How to determine the cosine ratio?</h3>

The given parameter is:

\sin(\theta_1) = -\frac{13}{85}

By the Pythagorean identity, we have:

\sin^2(\theta_1) + \cos^2(\theta_1) = 1

So, we have:

(-\frac{13}{85})^2 + \cos^2(\theta_1) = 1

This gives

\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2

Evaluate

\cos^2(\theta_1) = 1 - \frac{169}{7225}

Take LCM

\cos^2(\theta_1) = \frac{7225 -169}{7225}

This gives

\cos^2(\theta_1) = \frac{7056}{7225}

Take the square root of both sides

\cos(\theta_1) = \pm \frac{84}{85}

Cosine is positive in the fourth quadrant.

So, we have:

\cos(\theta_1) =  \frac{84}{85}

Hence, the cosine value is \cos(\theta_1) =  \frac{84}{85}

Read more about Pythagorean identity at:

brainly.com/question/1969941

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