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-BARSIC- [3]
3 years ago
13

Which of the following phrases can be used to represent -11?

Mathematics
2 answers:
Reptile [31]3 years ago
3 0

Answer:

eleven below zero

Step-by-step explanation:

opposite of -11 =11  so that doesn't work

positive eleven=11 so that doesn't work

eleven greater than zero=11 so that doesn't work

eleven below zer0= -11 so it works

Troyanec [42]3 years ago
3 0
11 before zero

Explanation: it is in the negatives so it has to be below zero
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12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely
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The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 6 a b^{2}(a+2)(2 a-1)

<u>Solution:</u>

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)

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The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

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Therefore, the height of the airplane above the tower is 1,819.85 feet.

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