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balandron [24]
3 years ago
10

What is the hypotenuse of a triangle with 4 ft and 5 ft

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

\Large\text{The hypotenuse is}\ \sqrt{41}\ ft\approx6.4\ ft

Step-by-step explanation:

\text{Use the Pythagorean theorem:}

a^2+b^2=c^2

\text{a, b - legs}\\\text{c - hypotenuse}

\text{We have the legs 4ft and 5ft. Substitute:}

c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=\sqrt{41}

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Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9
AnnZ [28]

Answer:

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

Step-by-step explanation:

We have been given that

f(x)=x^3-27,g(x)=3x-9

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes -  a^3-b^3=(a-b)(a^2+ab+b^2)

f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)

And g(x) can be written as

g(x)=3x-9\\=3(x-3)

Thus, we have

(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}

On cancelling the common factors, we get

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

5 0
2 years ago
Factor to the given polynomial completely.<br><br> 4x³+24x²-288x
STatiana [176]

Answer: \Large\boxed{4x(x+12)(x-6)}

Step-by-step explanation:

<u>Given expression</u>

4x³ + 24x² - 288x

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4x · x² + 4x · 6x - 4x · 72

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<u>Cross multiply to factorize the remaining polynomial expression</u>

<em>The meaning is to allow the factored product of the constant to add up to the first-degree term</em>

x             12

x             -6

<u>Combine the result</u>

\Large\boxed{4x(x+12)(x-6)}

Hope this helps!! :)

Please let me know if you have any questions

3 0
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GREYUIT [131]

Answer:

6/8 or 3/4

Step-by-step explanation:

Because the denominator is the same, just add all the numerators, 1+2=3, then 3+3=6. So 6/8 or when simplified, 3/4.

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Sladkaya [172]
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Nadya [2.5K]

Answer:

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