3 years ago

What should be the three sides of a triangle to make it right triangle?

Mathematics

1 answer:

drek231 [11]3 years ago

5 0

Sum of square of two sides must be equal to the square of third side.

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What is the answer to question 3 and 4

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3 years ago

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

<u>Answer-</u>

$\boxed{\boxed{\frac{7}{3}}}$

<u>Solution-</u>

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

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3 years ago

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A women from England sneezed 978 days in a row. About how many weeks did sh sneeze in a row? What units of time do you need to c

Marizza181 [45]

Answer:

She sneezed for 138.286 weeks in a row. You need days of week to create a proper conversion.

Step-by-step explanation:

There are 7 days in a week. There are 978 days shown.

You can depict it as this:

978 = 7x; x is the amount of weeks.

Divide both sides by 7

138.285714 = x

Round to three decimals

x = 138.286

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