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mr_godi [17]
3 years ago
7

Please answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer:

The length of the hypotenuse is 26 inches

Step-by-step explanation:

The leg(brace) attached to the wall is 10 inches

Perpendicular = 10 inches

Your surfboard sits on a leg that is 24 inches.

Base = 24 inches

Formula : Hypotenuse^2 = Perpendicular^2 +Base^2

Hypotenuse^2 = 10^2+24^2

Hypotenuse = \sqrt{10^2+24^2}

Hypotenuse = 26

Hence  the length of the hypotenuse is 26 inches

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Step-by-step explanation:

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\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

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\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

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