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Evgesh-ka [11]
3 years ago
12

(3x+7)(3x-7) if necessary combine like terms

Mathematics
1 answer:
34kurt3 years ago
3 0

Answer:

9x^2 -49

Step-by-step explanation:

We recognize that this is of the form

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

3x = a and 7 =b

(3x)^2 - 7^2

9x^2 -49

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Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)
USPshnik [31]

First, expand the terms inside the bracket you will get

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( 4 \tan(x)  \sin(x) ) {}^{2}  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x)  \sin {}^{2} (x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x) (1 -  \cos {}^{2} (x) ) = 16 (\tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16( \tan {}^{2} (x)  -   \frac{  \sin {}^{2} (x) \cos {}^{2} ( {x}^{} )  }{ \cos {}^{2} (x) }

16( \tan {}^{2} (x)  -  \sin {}^{2} (x) ) = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

5 0
2 years ago
What is the solution to the system?<br> X+3y = 5<br> 5x-3y = 7
S_A_V [24]

Answer:

x + 3y = 5

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Add up both equations, then:

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=> x = 2

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5 0
3 years ago
Read 2 more answers
[HELP] Are the diagonals of an isosceles trapezoid congruent?
erastovalidia [21]
Yes.

the properties of an isosceles trapezoid are:
- the bases are parallel 
- opposite sides are congruent
- the angles on either side of the bases are congruent
- the diagonals are congruent
3 0
3 years ago
Find the quotient 5 68
kobusy [5.1K]
The quotient is 13.6
8 0
3 years ago
How can you tell before dividing taht the first digit of the quotient 2,874 divided by 3 is in the hundreds place?
torisob [31]
When you divide, you're doing the oposite of multiplication. To know that your partical answer is going to be in the hundreds place is you follow the pattern.
2874/3=958
you take the 3 and you divide it by the last two didits of the number given (28) and that'll get you into your hundreds place.
Hope this helped! :-)
5 0
3 years ago
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