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Stella [2.4K]
3 years ago
8

What is the greatest commen factor of 30 and 54

Mathematics
2 answers:
allsm [11]3 years ago
7 0
The greatest common factor is 6
seropon [69]3 years ago
3 0
54. 30
^ ^
27 2. 10 3
^ ^
9 3. 5 2
^
3 3
They only have 3 and two in common when you fully factor them. 3×2= 6
6 is the greatest common factor.
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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
In the figure shown, what is the measure of angle x?
mojhsa [17]
Angles in a triangle must add up to 180, so the missing angle inside the triangle is 180 - (70 + 40), which is 70.

Angles on a straight line (i.e. the line BD) must add up to 180, and because we know part of that angle is 70, x must be 180 - 70, which is 110.

Hence, x is 110 degrees.
5 0
2 years ago
Read 2 more answers
If you have an 80 average so far in class after 3 tests what would you need to get on the fourth test to have an average of 83?​
Monica [59]

Answer:

92

Step-by-step explanation:

83*4 = 332

And 80*3 = 240

332-240 = 92

So you would need 92

8 0
3 years ago
What is the remainder if f(x) = x4 – 5x2 - 6x - 10 is divided by x - 3?
bezimeni [28]

Answer:-46

Step-by-step explanation: just took test

5 0
2 years ago
If √3 = 1.73 to 2 dp, find the value of 4/√3 to 2 dp​
Mashutka [201]

Answer:2.31

Step-by-step explanation: considering that the root of 3 has already been given. Will just divide 4 by the root of 3 which is 1.73. and the answer it gives is 2.31

3 0
3 years ago
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