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r-ruslan [8.4K]
2 years ago
6

How do you solve 28-2.2x=11.6x-54.8??

Mathematics
1 answer:
malfutka [58]2 years ago
6 0
28 - 2.2x = 11.6x - 54.8
28 + 54.8 = 11.6x + 2.2x
82.8 = 13.8x
82.8 / 13.8 = x
6 = x
or x = 6 
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<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

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

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
2 years ago
What is supplementary to &lt;7 ??
mestny [16]
<8 ,    
<7 and <8 form a linear pair

3 0
3 years ago
Find the measure of arc EC.
miss Akunina [59]

Answer:

50

Step-by-step explanation:

7x = (90 + 5x) \times  \frac{1}{2}

7x =   {2.5x} + 45

4.5x = 45

x = 10

Plug 10 in for x.

5(10) = 50

8 0
2 years ago
A line has a slope of -4 and passes through the point (2,-5) <br> which is the equation of the line
dimulka [17.4K]

We will be using the Point Slope formula which is y-y_{1} =m(x-x_{1} )

The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.

y- (-5) = -4(x-2)

This simplifies into y+5 = -4x +8

Then we can subtract 5 from each side to get the answer:

y = 4x+3

6 0
3 years ago
the probability that Olivia will make a free throw is 0.6, what is the probabilty that olivia makes the first free throw and the
Y_Kistochka [10]
I don’t not know the exact answer
3 0
2 years ago
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