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2 years ago

The thundering herd an amusement park ride is not open

Mathematics

1 answer:

ioda2 years ago

6 0

We need more to the question to answer it

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12a^3b^2 +18a²b^2 – 12ab^2 Factor completely

AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is $6 a b^{2}(a+2)(2 a-1)$

Solution:

Given, expression is $12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

We have to factorize the given expression completely.

Now, take the expression

$12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

Taking $b^2$ as common term,

$b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)$

Taking "a" as common term,

$b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)$

Taking "6" as common term,

$b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)$

Splitting "3a" as "4a - a" we get,

$b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)$

$\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}$

Hence, the factored form of given expression is $6 a b^{2}(a+2)(2 a-1)$

4 0

2 years ago

Simplify the following expression (x+y)²

MrMuchimi

Answer:

${x}^{2} + 2xy + {y}^{2}$

Step-by-step explanation:

1) Use square sum: (a + b)² = a² + 2ab + b².

${x}^{2} + 2xy + y^{2}$

Therefor, the answer is x² + 2xy + y².

8 0

1 year ago

the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth

Schach [20]

Answer: Length: ≈20.5 Breadth: ≈5.5

Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.

8 0

2 years ago

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the po

Lilit [14]

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

$\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}$

So, the angle of elevation is 36.86 degrees.

4 0

2 years ago

The heights of some sunflowers are shown below.

Alexxx [7]

2 flowers are 5.5 feet tall and 4 are 7 feet tall, you subtract 2 from 4 and get 2.

2 flowers is the answer.

UwU

3 0

2 years ago