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sergiy2304 [10]
4 years ago
5

The length of a room is 8 feet more than twice width. If it takes 124 feet of molding to go around the perimeter of the room, wh

at are its dimensions?
Plz help truck load of points

Mathematics
2 answers:
pantera1 [17]4 years ago
7 0
Perimeter is all sides added together. That will total 124 feet.

W = width   L = length   2w + 8
  18 feet               44 feet

Equation:    124 = 2W + 2(2W+8) 

124 = 2W + 4W +16  (put like terms together) 
124 - 16 = 2W + 4W

108 = 6W (dived both sides by 6)
18 = W     

To check:  2(18) + 2(44)  = 36 + 88 + 124
guajiro [1.7K]4 years ago
3 0
Width- 18 ft
Length- 44 ft

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Apply the distributive property to simplify the expression. −9(−2x − 3)
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Answer:

Step-by-step explanation:

you do -9 times -2x which is 9x2X

then you do -9 times -3

so your answer is 9times2x-29

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3 years ago
Describe the nature of the roots for the equation 49x2 - 28x + 4 = 0.
Hoochie [10]

Answer:

We conclude that 49x² - 28x + 4 = 0 has only one real root.

Thus, option B i.e. one real root is the correct option.

Step-by-step explanation:

Given the equation

49x² - 28x + 4 = 0

comparing with the quadratic equation ax² + bx + c = 0 for x, where a ≠ 0,

here

a = 49, b = -28, c = 4

Determining the discriminant b²-4ac

b²-4ac = (-28)² - 4(49)(4)

           = 784 - 784

           = 0

It is clear that the discriminant b²-4ac is equal to zero.

i.e.

b²-4ac = 0

We know that if the discriminant b²-4ac = 0, then the quadratic equation has one real root.

Therefore, we conclude that 49x² - 28x + 4 = 0 has only one real root.

Thus, option B i.e. one real root is the correct option.

6 0
3 years ago
Use the distributive property to match equivalent expressions.
NeTakaya

Answer:

<h3>By using the distributive property the matched equivalent expressions are</h3><h3>1) -7(-4+x) =28-7x </h3><h3>2) -7(4-x) =-28+7x </h3><h3>3) 7(4+x) =28+7x </h3><h3>4) 7(-4-x) =-28-7x </h3>

Step-by-step explanation:

Given that by using the distributive property to match the given equivalent expressions.

1) Given expression is -7(-4+x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

-7(-4+x) =(-7)(-4)+(-7)(x)

=28-7x

<h3>∴ -7(-4+x) =28-7x </h3>

2) Given expression is -7(4-x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

-7(4-x) =(-7)(4)+(-7)(-x)

=-28+7x

<h3>∴ -7(4-x) =-28+7x </h3>

3) Given expression is 7(4+x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

7(4+x) =(7)(4)+(7)(x)

=28+7x

<h3>∴ 7(4+x) =28+7x </h3>

4) Given expression is 7(-4-x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

7(-4-x) =(7)(-4)+(7)(-x)

=-28-7x

<h3>∴ 7(-4-x) =-28-7x </h3>

Hence the matched equivalent expressions are

1) -7(-4+x) =28-7x

2) -7(4-x) =-28+7x

3) 7(4+x) =28+7x

4) 7(-4-x) =-28-7x

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3 years ago
Help please easy math question
Rus_ich [418]

Answer:

4.8m

Step-by-step explanation:

3 0
4 years ago
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