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Kruka [31]
2 years ago
12

the width of a rectangle is 6inches less than twice it’s length. Find the dimension of the rectangle if it’s area is 108 square

inches
Mathematics
1 answer:
Sindrei [870]2 years ago
5 0

Answer:

Width = 12   Length = 9

Step-by-step explanation:

We have to first find an equations with the given variables:

w = 2L - 6

Now apply the area format:

Length * Width

Since the area is 108 square inches

108 = l * w

108 = l(2l-6)

108 = l(2l) + l(-6)

108 = 2l^2 - 6l

Simplify:

(l-9) * (l+6) = 0

Since no number can be negative

w = 2*9(L)-6

w = 12

l=9

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skelet666 [1.2K]
A ) Length = 5 - 2 x
Width = 3 - 2 x
The area of the bottom:
A = L  x  W = ( 5 - 2 x ) ( 3 - 2 x ) = 15 - 10 x - 6 x + 4 x² = 
= 4 x² - 16 x + 15
b ) 4 x² - 16 x + 15 = 10
4 x² - 16 x + 5 = 0
x = (16 - √(256 - 80))/ 8 = ( 16 - 13.266 ) / 2
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4 0
3 years ago
Which expression is equivalent to ^4sqrt6/^3sqrt2?
BigorU [14]

\dfrac{\sqrt[4]6}{\sqrt[3]2}=6^\frac{1}{4}:2^\frac{1}{3}=6^\frac{1\cdot3}{4\cdot3}:2^{\frac{1\cdot4}{3\cdot4}}=6^\frac{3}{12}:2^\frac{4}{12}=(6^3)^\frac{1}{12}:(2^4)^\frac{1}{12}\\\\=216^\frac{1}{12}:16^\frac{1}{12}=(216:16)^\frac{1}{12}=\sqrt[12]{\dfrac{216}{16}}=\sqrt[12]{\dfrac{27}{2}}\\\\\text{Answer:}\ 1)\ \sqrt[12]{\dfrac{27}{2}}

4 0
3 years ago
Read 2 more answers
Write a polynomial equation of degree 4 in standard form that has the solutions i, −i, 1, −1.
Brut [27]

Answer:

x⁴ + 2 x² + 1

Step-by-step explanation:

given solution of the polynomial

i, −i, 1, −1.                        

equation of the polynomial will be equal to

 =(x - i)(x + i)(x - 1)(x + 1)                      

 = (x² + i x - i x - i²)(x² + x - x + 1)            

 =(x² - (-1))(x² + 1 )                        

 = (x² + 1)(x² + 1)                        

= x⁴ + x² + x² + 1                          

= x⁴ + 2 x² + 1                                    

hence, the required polynomial equation is x⁴ + 2 x² + 1          

4 0
3 years ago
It took jaivin 18 minutes to jog 4 laps . how many minutes did it to jog each lap at this rate?
Lina20 [59]

Answer:

hi

Step-by-step explanation:

3 0
3 years ago
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Please i need help asap!! ​
chubhunter [2.5K]

Answer:

(-4,-1) is the answer to this.

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