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MissTica
3 years ago
6

PLZ HELP!! Algebra is not my thing, 30 points!! 5x + 2 = 3x + 4(2x - 1)

Mathematics
1 answer:
ira [324]3 years ago
8 0

Answer:

5x + 2 = 3x + 4(2x - 1) \\ 5x + 2 = 3x + 8x - 4 \\ 3x + 8x - 5x = 2 + 4 \\ 6x = 6 \\  \boxed{x = 1}

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It is essential that you use the symbol " ^ " to denote exponention.  See the following changes I have made.  

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec
expeople1 [14]

Answer:

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\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

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And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

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And then the best option for this case would be:

b.csc x

4 0
3 years ago
Michelle is building a rectangular landing strip for airplanes .She has material to cover 1/1,500 of a square mile. The landing
ANEK [815]
I think that the missing word here is:
"with the amount of the material that Michelle has"

Let's say that her landing strip is x miles long, then its area would be:


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We also know how big it is:

\frac{1}{6} *x= \frac{1}{1 500}

now, let's multiply both sides by 6:
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1 *x= \frac{3}{750}
x= \frac{1}{250}


So the answer is that it would be x= \frac{1}{250} miles wide






3 0
3 years ago
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