Is 18ft, 23ft, 29ft a right triangle ?

Explanation:

a = 18, b = 23, c = 29

note: the largest value is always c

Plug those values into the pythagorean theorem

a^2 + b^2 = c^2

18^2 + 23^2 = 29^2

324 + 529 = 841

853 = 841

The last equation is false, so the first equation is false when (a,b,c) = (18,23,29). Meaning that we do not have a right triangle.

In contrast, something like a 3,4,5 triangle is a right triangle because...

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

that true equation means the original equation is true for (a,b,c) = (3,4,5)

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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