Which equation, when solved, results in a different value of x than the other three?

Mathematics

2 answers:

mamaluj [8]3 years ago

8 0

Answer: d

Step-by-step explanation: got it right on edge

marusya05 [52]3 years ago

6 0

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Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. which equation represents the relationship between t

timama [110]

Answer:

angle 1+angle 2 = 180 degrees

Step-by-step explanation:

when 2 angles are supplementary, they equal 180 degrees when they are added up. Because angles 1 and 2 are supplementary, this means that angle 1 + angle 2 equals 180 degrees.

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2 years ago

What is the length of the arc intercepted by an angle of 10 degrees on a circle with a radius of 10 meters?

soldier1979 [14.2K]

$\displaystyle\\
\texttt{Length of the arc }= 2\pi R\times \frac{10}{360} = \frac{2\pi \times 10}{36} = \frac{20\pi}{36} = \boxed{\frac{5\pi}{9}~m}$

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3 years ago

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$