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2 years ago

Use pemdas (23 + 11) / 2 - 14 write 3 steps

Mathematics

2 answers:

8090 [49]2 years ago

8 0

Step-by-step explanation:

(23 + 11) / 2 - 14

34/2-14
17-14
3

Mariana [72]2 years ago

8 0

Step-by-step explanation:

= ( 23 + 11 ) /2 - 14

= 34 /2 - 14

= 17 - 14

= 3

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What is the measure of (3y + 27)<br> What is the measure of (5y - 3)

saw5 [17]

Answer:

Angle A: 72°

Angle B: 108°

Step-by-step explanation:

Opposite angles are equal

Adjacent angles add up to 180

5y - 3 = 3y + 27

2y = 30

y = 15

Angle A:

5(15) - 3 = 72°

Angle B:

180 - 72 = 108°

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3 years ago

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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.

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3 years ago

60% of all adults ages 35-44 drank coffee in the last year and 50% of all adults drank coffee. how much more likely are adults a

romanna [79]

10% more likely

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3 years ago

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Ronch [10]

Answer:

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photoshop1234 [79]

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3 years ago

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