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Murrr4er [49]
2 years ago
8

What is the simplified form of 12x/900x²y4z6?

Mathematics
1 answer:
zalisa [80]2 years ago
7 0

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

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Hey guys<br>im new here<br>please solve this for me with steps!<br>ill mark as the best answer​
Vinil7 [7]

Answer:

The factors of  2(x+y)^2-9(x+y)-5 is ((x+y)-5)(2x+2y+1)

Step-by-step explanation:

Given polynomial

=>2(x+y)^2-9(x+y)-5

To Find:

The factors of the polynomial =?

Solution:

Lets assume  k = (x+y)

Then 2(x+y)^2-9(x+y)-5 can be written as 2k^2-9k-5

Now by using quadratic formula

k =\frac{-b\pm\sqrt{(b^2-4ac}}{2a}

where

a= 2

b= -9

c= -5

Substituting the values, we get

k =\frac{-b\pm\sqrt{(b^2-4ac)}}{2a}

k =\frac{-(-9) \pm \sqrt{((-9)^2-4(2)(-5)}}{2(2))}

k =\frac{-(-9) \pm \sqrt{(81+40)}}{4}

k =\frac{-(-9) \pm \sqrt{(121)}}{4}

k =\frac{-(-9) \pm 11}}{4}

k= \frac{ 9 \pm 11}{4}

k =  \frac{20}{4}                         k =  \frac{-2}{4}    

k_1 =5                                      k_2 = -\frac{1}{2}

2k^2-9k-5= 2(k-5)(k+\frac{1}{2})

Solving the RHS we get

\frac{2}{2}(k-5)(2k+1)

(k-5)(2k+1)

Substituting k = x+y

((x+y)-5)(2(x+y+1)

((x+y)-5)(2x+2y+1)

5 0
3 years ago
Sylvia took three times in a video game she scored -120 points during her first turn 320 points in her second time and -80 point
sp2606 [1]
Her average score for the 3 turns is 40 because you have to add all of the scores so -80 and -120 is -200 so add that to 320 and you get 120 divide that by 3 because she took 3 turns and you get 40
3 0
3 years ago
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Andreas93 [3]

Step-by-step explanation:

1. 5/8 = 62.5%

2. 1/5 = 20%

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8 0
2 years ago
Please provide the working outs as well as the answer. Many thanks
lana [24]
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4 0
3 years ago
Zahra has paper rectangles of different sizes. Every rectangle is 5 centimeters longer than it is wide. Is there a proportional
Alika [10]

Answer: The answer is NO. Explained below.


Step-by-step explanation:  Given that Zahra has a number of rectangles of different sizes which are made of paper. Also, the length of every rectangle is 5 cm more than its breadth.

We are to find whether the relationship between lengths and breadths of rectangles is proportional or not.

Let,  'l' represents the length and 'b' represents the breadth of any of these rectangles, then according to the given information, we can write

l = b + 5.

For a proportional relationship, we need a relation of the form

l = k × b, which is not always possible in the given case.

For example, if l = 8, b = 3, and l=9, b=4 then we cannot write

l = k × b, for a constant k.

Hence there is no proportional relationship  between the lengths and widths of these rectangles.

Thus, the answer is NO. Hence explained.


5 0
3 years ago
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