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miss Akunina [59]
3 years ago
5

Plz answer it........

Mathematics
2 answers:
ddd [48]3 years ago
4 0
Here u go,the app is called photomath

bearhunter [10]3 years ago
3 0
Okay,
so,
The given expression is :
16{(a + b)}^{2}   -  49 {(a - b)}^{2}

As 16 is sqaure of 4 and 49 is square of 7, then this whole expression could also be written as

{{((4)(a + b))}}^{2}  -   {{((7)(a - b))}}^{2}
Now,
as you might've notices by now that this expression is in the form of

{x}^{2}  -  {y}^{2}
And there's an alzebric identity about it. That is
{x}^{2}  -  {y}^{2}  = (x + y)(x - y)
Now by using this alzebric identity. we're gonna split our expession as shown below:
(4(a + b)  +  7(a - b)) \times (4(a + b) - 7(a - b)  \\  \\  = (4a + 4b + 7a - 7b) \times (4a + 4b  - 7a + 7b) \\  = (11a - 3b)( 11b - 3a)




By solving the last step i.e,
(11a-3b)(11b-3a)

we'll get,
121a^2 - 33ab -33b^2 -8ab

= 121a^2-33b^2 -41ab .


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Step-by-step explanation:

5 0
3 years ago
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What are the equations of asymptotes of the graph of the function f(x)=3x^2-2x-1 / x^2+3x-10
True [87]
An asymptote is of a graph of a function is a line that continually approaches a given curve but does not meet it at any finite distance.
There are three major types of asymptote: Vertical, Horizontal and Oblique asymptotes.
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. They are the values of x for which a rational function is not defined.
Thus given the rational function:
The vertical asymptotes are the vertical lines corresponding to the values of x for which

Solving the above quadratic equation we have:

Therefore, the vertical asymptotes of the function
are x = 2 and x = -5

The horizontal asymptote of a rational function describes the behaviour of the function as x gets very big.The horizontal asymptote is usually obtained by finding the limit of the rational function as x tends to infinity.
For rational functions with the highest power of the variable of the numerator less than the highest power of the variable of the denominator, the horizontal asymptote is usually given by the equation y = 0.
For rational functions with the highest power of the variable of the numerator equal to the highest power of the variable of the denominator, the horizontal asymptote is usually given by the ratio of the coefficients of the highest power of the variable of the numerator to the coefficient of the highest power of the denominator.
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4 0
3 years ago
Read 2 more answers
Which linear equations have an infinite number of solutions? Check all that apply.
ladessa [460]

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

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cricket20 [7]

Answer:

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Step-by-step explanation:

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Olegator [25]

Answer:

Step-by-step explanation:

Dilating a segment can change the length.  TRUE

A dilated line segment is parallel to its preimage.  TRUE

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