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-BARSIC- [3]
3 years ago
7

The legs of the right triangle are 2 and 4. Find the length of the hypotenuse.

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Correct answer:

19.7ft

Explanation:

This problem is solved using the Pythagorean theorem  (a2+b2=c2).  In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

Correct Answer →19.7ft

Hope this helps!

Sincerely; Victoria<3

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3 years ago
Solve for x: -6(x + 4) + 9 &gt; -5(x + 6)
devlian [24]

Answer:

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Step-by-step explanation:

Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".

On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:

-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24

On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:

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Now put these back in:

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Thus the answer is x < 15.

Hope this helps!

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