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Effectus [21]
3 years ago
11

2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Mathematics
1 answer:
Talja [164]3 years ago
6 0

\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1

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Will mark brainliest!! :)
Georgia [21]

Answer:

Divide the weight of the bag by 2.

Step-by-step explanation:

Every time we divide the weight of bags by 2 we always get the number of marbles in this situation.

For example, in the first one:

Weight of bag is 20

Number of marbles is 10

20/10 = 2 or 20 / 2 = 10

On bag number 5 the weight is 100 grams (Add 20 every time)

100/2 = 50

The number of marbles in a bag that weighs 100 grams is 50.

50 marbles

4 0
3 years ago
Which of the following expressions represents the area, in square meters, of the regular decagon (10-sided polygon) with 3.25 me
raketka [301]

Answer:

A = P * a / 2

A = 81.25

Step-by-step explanation:

We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:

A = P * a / 2

In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:

P = 10 * 3.25

P = 32.5 meters

We replace:

A = 32.5 * 5/2

A = 81.25

Which means that for that regular decagon, the area is 81.25 square meters.

3 0
3 years ago
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r
Tasya [4]

Answer: Correct answer is (x, y) → ( x − 3, y − 4); (5, −1)


Step-by-step explanation: Starting from point 8,3 we go down 4 on the y-axis (y-4)and stopping at -1 then we go left on the x-axis (x-3) stopping at 5.

So the new coordinate for the vertex C should read 5,-1.


4 0
3 years ago
Read 2 more answers
Which of the following is the correct first step to solve 5x^2 - 20x = -15 by completing the square? 1. Add 100 to both sides. 2
avanturin [10]

Answer:

<h2>3.  Divide all terms by 5</h2>

Step-by-step explanation:

given any quadratic equation (5x^2 - 20x = -15)

the steps to follow accordingly are

  1. make the coefficient of the x^2 term to be 1 (divide all terms by the coefficient of x^2)
  2. Add 15 to both sides.
  3. Solve the completed squares.
3 0
3 years ago
Two fair dice are rolled. The score is the difference between the two dice.
yuradex [85]

Answer:

What a question bro or sis

Step-by-step explanation:

where is the table

8 0
3 years ago
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