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statuscvo [17]
3 years ago
7

The width of a rectangle is 5 centimeters less than triple the length. Let m be length of the rectangle. Write a variable expres

sion for the width.
Mathematics
1 answer:
Olenka [21]3 years ago
4 0

length: m

less means "subtract", than means "reverse the order", triple means "times 3"

width: 3m - 5

Answer: 3m - 5


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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 5 times three fourths
Hatshy [7]
When multiplying with fractions you can multiply the top and the bottom independantly
5*3 = 15
1*4 = 4

so 5 * (3/4) = 15/4
6 0
3 years ago
Read 2 more answers
Who can help we with this ?, if you can please show the work
Svet_ta [14]

piece #1 is x

the answer is c

8 0
3 years ago
Can someone tell me how to do this? with steps?
MrRa [10]

Answer:

Step-by-step explanation:

In Δ AFB,

∠AFB + ∠ABF + ∠A = 180   {Angle sum property of triangle}

90 + 48 + ∠1 = 180

       138 + ∠1 = 180

                 ∠1 = 180 - 138

∠1 = 42°

FC // ED and FD is transversal

So, ∠CFD ≅∠EDF   {Alternate interior angles are congruent}

     ∠2 = 39°

In ΔFCD,

∠2 + ∠3 + ∠FCD = 180

39 + ∠3 + 90 = 180

         129 +∠3 = 180

                   ∠3 = 180- 129

∠3 = 51°    

3 0
2 years ago
Which statement describes the cost to park as a unit price?
Lana71 [14]

The answer is C

hope this helps

4 0
2 years ago
Read 2 more answers
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