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3 years ago

PLEASE I NEED HELP, ASAP!! –4(5–2a)+3(a–4)=6(2–a)–5a

Mathematics

2 answers:

creativ13 [48]3 years ago

8 0

The answer to this question is a=2

Anna [14]3 years ago

8 0

The answer is a=2:

Equation=

Open the parenthesis first:

-20+8a+3a-12=12-6a-5a

Add all the a's and the numbers together:

-32+11a=12-11a

Lastly put all a's on one side and the numbers on the other side:

22a=44

Divide the numbers and get:

a=2

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We want to write the trignometric expression:

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First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

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Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

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By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

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