Is 2/6 less than 1/8?

Mathematics

2 answers:

barxatty [35]3 years ago

7 0

No. 2/6 is 2/3 which is .66666667 and 1/8 is only .125.

Rama09 [41]3 years ago

5 0

No, it is more then 1/8

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If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

4 years ago

Find 15 * 15 * 15 * 500 how does this compare to finding 45 x 500

andrew11 [14]

15 * 15 * 15 * 500 = 1,687,500. it's different from finding 45 * 500 because
15 * 15* 15 * 500 is the same as writing it as 15^3 * 500. This meaning you multiply the number 15 by itself 3 times, not add it 3 times, which is what
45 * 500 was showing. I hope this helped.

4 0

4 years ago

What is 1/3 plus 1/6?

Leya [2.2K]

The decimal is 0.0555555

4 0

3 years ago

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Write an equation of the line in slope-intercept from?

netineya [11]

Answer:

$y=-\frac{3}{2}x+2$