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34kurt
3 years ago
11

49x2 - 81 is an example of the difference of two

Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0

Answer:

(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.

Step-by-step explanation:

Formulas are used to factorize the polynomials.

In the given question, we can see a difference of squares

the difference of squares can be factorized using the formula

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

Here a^2 and b^2 are squares and factorized as sum and difference of numbers.

So in the given options,

(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.

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Step-by-step explanation: Hope its fine.

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Help! If you know this can you tell me how to do it?
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Answer:

c

Step-by-step explanation:

Here's how this works:

Get everything together into one fraction by finding the LCD and doing the math.  The LCD is sin(x) cos(x).  Multiplying that in to each term looks like this:

[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?

Put everything over the common denominator now:

\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?

Since sin^2(x)+cos^2(x)=1, we will make that substitution:

\frac{1}{sin(x)cos(x)}

We could separate that fraction into 2:

\frac{1}{sin(x)}×\frac{1}{cos(x)}

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5 0
4 years ago
Ten times the sum of half a number x and 8 is 12.
Diano4ka-milaya [45]

BREAKDOWN

10 times: 10 ×

The sum of: ( ) + ( )

which would be : 10 × ( ) + ( )

half a number: 10 × ( X/2 ) + ( )

and 8: 10 × ( X/2 ) + ( 8 )

is 12 : 10 × ( X/2 + 8 ) = 12

xxxxxxxxxxxxxxxxxxx

SIMPLIFICATION

Multiply ten: 10 X (X/2 + 8) = 12

which equals to: 5x + 80 = 12

bring the like terms together: 5x = 80 - 12

Equals: 5x = 78

Find out X:. x = 78/5

FINAL ANSWER:. X = 15.9

XXXXXXXXXXXXXXXXXXXXXXXCCC

6 0
3 years ago
Find the volume of a rectangular prism with a length of 2.5, a width of 8 and a height of 12. a0 cubic units.
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Kyndal wants to buy a lamp that
fenix001 [56]

Answer:

$39.36

Step-by-step explanation:

Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82

82x0.8= 65.6

Since there is a additional 40% off multiply by 0.4 to get the discount amount

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Subtract the discount from the price

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