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Oksana_A [137]
3 years ago
11

You're locked out of your house and the only open window is on the second floor, 26 feet above the ground. you need to borrow a

ladder from one of your neighbors. there's a rose garden along the edge of the house, so you'll have to place the ladder 9 feet from the house. what length of ladder do you need to reach the window?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0
<span>You would need a ladder length of 28 feet. If you compute the hypotenuse of a right triangle, or 26 feet squared plus 9 feet squared, you get an answer of 757, the square root of which is 27.51 feet, to give yourself enough ladder, we round that number up to 28 feet.</span>
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Step-by-step explanation:

10x - 2y = 24 ..................... equation 1

6x + 2y = 8 ........................ equation 2

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sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

<u>Solve:</u>

Given = 3a² + 10a + 3

<em>STEP ONE: separate 3a² into two terms</em>

3a

a

<em>STEP TWO: separate 3 into two terms</em>

3

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<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>

3a     1

a       3

When cross multiply, 3a × 3 + 1 × a = 10a

<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>

3a  ⇒   1

a   ⇒    3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

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