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olga nikolaevna [1]
3 years ago
15

6. Here are some lengths, widths, and areas of a garden whose perimeter is 40 feet.

Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

multiply 8 times 12 divide 96 with 12 divide 64 with 16

Step-by-step explanation:

I'm not rly sure if this is correct

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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
How does the concept of inequality help you describe situations?
solong [7]
It's easier to explain a situation if there's bias or if you feel a certain way about one topic but not the other
4 0
4 years ago
Two numbers add to 436 and the front is 134 bigger than the second. What are the two numbers?
Ugo [173]

Lets say x is the smaller number and y is the bigger number.


x + y = 436

x + 134 = y


We can substitute the second equation into the first (substitute x + 134 in for y)


x + (x+134) = 436


2x + 134 = 436


2x = 302


x = 151


We can now plug this back into either formula (i use the second)


151 + 134 = b


b = 285


The 2 numbers are 151 and 285

4 0
3 years ago
Read 2 more answers
Viev
Misha Larkins [42]

Answer:

2222222222222222222222222222222

Step-by-step explanation:

7 0
3 years ago
Help!! i have been getting my answers wrong all day
lawyer [7]

<em>Answer</em>

<em>20.45pi</em>

<em>Step-by-step explanation:</em>

<em>14/2=7</em>

<em>49pi</em>

49pi/2=20.45pi

7 0
4 years ago
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