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3 years ago

What’s is the difference of 9.37 and 1.6

Mathematics

1 answer:

Radda [10]3 years ago

4 0

Answer:

7.77

Step-by-step explanation:

9.37 - 1.60 = Difference

Difference = 7.77

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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

Hey please help me if you can I would appreciate it

PolarNik [594]

This is a division problem.
You need to divide 51/2 by 3/2.

$\dfrac{51}{2} \div \dfrac{3}{2} =$

$= \dfrac{51}{2} \times \dfrac{2}{3}$

$= \dfrac{51 \times 2}{2 \times 3}$

$= \dfrac{102}{6}$

$= 102 \div 6$

$= 17$

Answer: Choice D.

6 0

3 years ago

Read 2 more answers

Jan used 35 blocks to make 5 buildings. Each building is made of an equal number of blocks. Which of the following shows how to

elena-s [515]

Answer:

Step-by-step explanation:

35 divided by 5 equals 7

8 0

2 years ago

Can somebody help me please?

Fittoniya [83]