What is 88 tens minus 20 tens ?

Mathematics

1 answer:

Nataliya [291]3 years ago

8 0

88 tens = 880
20 tens = 200

880 - 200 = 680

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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

3 years ago

Answer this please

Gelneren [198K]

Answer:

x = 48

Step-by-step explanation:

We now that supplementary angles (as is the case for a straight line) add up to 180 degrees.

3x - 12 + x = 180

4x = 192

x = 48

6 0

2 years ago

What is the circumference of circle p ? Express in terms of pie

SVETLANKA909090 [29]

The circumference of a circle is calculated using the following equation:

$C= \pi d$

Where d is equal to the diameter (the length of a straight line from one side of the circle to the other side).

We know that the diameter of the circle given (also known as AB) is equal to 20 cm.

We can then plug this into the equation and solve for the circumference:

$C= \pi (20)$

Since the question asks for the answer to be in terms of $\pi$ , this is as far as we need to go. So the circumference of the circle is: $20 \pi$ or D.