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Allushta [10]
3 years ago
5

Which expression will simplify to 1? Assume m ≠ 9 and m ≠ -9.

Mathematics
2 answers:
nignag [31]3 years ago
7 0

Answer:

B(m+9/m-9) (m-9/m+9)

Serjik [45]3 years ago
7 0

Answer:

The answer is B

Step-by-step explanation:

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What is the result of 96 divided by 6? Use the model to find the answer.
gregori [183]

Answer:

the answer is 16

Step-by-step explanation:

i dont see any model but thats the result. (also so u don't waste points u can just use a calculator for things like this in the future)

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Jim and his dad are building a rectangular flower bed. They have a total of 35 feet of landscaping timber to use, and they want
Mama L [17]
The perimeter is 35.  If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change.  This means that perimeter will no longer be 35.  So in order to keep the perimeter as it is, if we change one dimension, we must also change the other. Let's solve for the length, using the formula to see how much the length changes from. p = 2l + 2w 35 = 2l + 2(15) 35 = 2l + 30 5 = 2l 2.5 = l  We must increase the length from 2.5 feet.  This is because decreasing one dimension will decrease the perimeter.  But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
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3 years ago
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Solve the equation : <br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%
Debora [2.8K]

Answer:

General solution is

 x = n \pi + \frac{\pi }{8}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }

<u><em>Step(ii):-</em></u>

<u><em></em></u>\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }<u><em></em></u>

cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x

cos (\frac{\pi }{4}+x ) = cos 3 x

<u><em>Step(iii):-</em></u>

<u><em>General solution of  cos x = cos ∝  is  x = 2 nπ+∝</em></u>

<u><em>we have </em></u> cos (\frac{\pi }{4}+x ) = cos 3 x

The general solution of  cos (\frac{\pi }{4}+x ) = cos 3 x is

⇒  3 x   = 2 n \pi  + (\frac{\pi }{4}+x )

⇒ 3 x- x = 2 n \pi + \frac{\pi }{4}

 2x = 2 n \pi + \frac{\pi }{4}

<em><u>final answer</u></em>:-

General solution is

 x = n \pi + \frac{\pi }{8}

             

8 0
3 years ago
Coefficient definition
Naily [24]

Answer:

In mathematics, a coefficient is a factor linked to a monomium. Given a monomium divider, the coefficient is the ratio of the monomium by the divider. Thus the monomium is the product of the coefficient and the divider. The different coefficients will depend on the factorization of the monomium. This is usually next to the letter that accompanies the algebraic fraction. A numeric coefficient is a constant factor of a specific object. For example, in the expression 9x2, the coefficient of x2 is 9. In elemental algebra, numeric coefficients of similar terms are grouped together to simplify algebraic expressions.

Step-by-step explanation:

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