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Fiesta28 [93]
3 years ago
6

What is the first step to simplify the expression?

Mathematics
2 answers:
Snezhnost [94]3 years ago
8 0

Answer:

I believe it is the last one i'm not sure

Step-by-step explanation:


denpristay [2]3 years ago
7 0

For this case, we must show the first step to simplify the following expression:

\frac {3 (x + 8) ^ 2} {(x + 2)}

So, the first step is to solve the binomial to the square of the numerator, in the form:

(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

So, we have:

(x + 8) ^ 2 = x ^ 2 + 2 * x * 8 + 8 ^ 2\\(x + 8) ^ 2 = x ^ 2 + 16x + 64

Then, the expression is as follows:

\frac {3 (x ^ 2 + 16x + 64)} {(x + 2)}

Answer:

Option D

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Andrews [41]

Answer:

option c is the correct answer.

5 0
3 years ago
Someone help asap pls! answer AND explanation
AysviL [449]

Answer:

D.

Step-by-step explanation:

It is simply asking for the number that makes the equation untrue. So, all you need to do is plug in the various numbers below for w, and find out the incorrect number. Example with option D:

w-10≤16

27-10≤16

17≤16.

This makes the equation untrue, as 17 is not less than or equal to 16.

Hope this helps!

6 0
2 years ago
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11.7

Step-by-step explanation:

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What is the least common denominator for 3/10 and 7/8?
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6 0
3 years ago
Given that tan θ ≈ −0.087, where 3 2 π &lt; θ &lt; 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
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