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likoan [24]
2 years ago
9

Evaluate (6 +2i) / (3-i).

Mathematics
2 answers:
Anuta_ua [19.1K]2 years ago
4 0

Answer:

(6 +2i) / (3-i) = (6+2i)/(3-i) x (3+i)/(3+i) = (6+2i)(3+i) / (3-i)(3+i) = 6(3+i)+2i(3+i) / (3)^2-(i)^2 = 18+6i+6i+2i^2 / 9-i^2 = 18+12i+2i^2 / 9-i^2 = 6+12i+2i^2 / 3-i^2 = 2+12i+2i^2 / 1-i^2 = 2+12i+2 / 1 = 4+12ianswer.

qwelly [4]2 years ago
3 0

Answer:

2(4 + 3i) / 5

Step-by-step explanation:

(6 + 2i) (3 + i) / (3 - i) (3 + i)

=> 18 + 12i + 2i² / 9 - i²

=> 16 + 12i / 10

=> 8 + 6i / 5

=> 2(4 + 3i) / 5

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What is the solution set to the following equation?
motikmotik

The solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7

<h3>How to determine the solution set of the equation?</h3>

The equation is given as:

x^2 + 2x - 48 = 0

A quadratic equation is represented as:

ax^2 + bx + c = 0

By comparing both equations, we have

a = 1, b = 2 and c = -48

The solution of the quadratic equation is then calculated using

x = (-b ± √(b^2 - 4ac))/2a

Substitute values for a, b and c in the above equation

x = (-2 ± √(2^2 - 4 * 1 * -48))/2 * 1

This gives

x = (-2 ± √196)/2

Evaluate the square root of 196

x = (-2 ± 14)/2

Divide through by 2

x = -1 ± 7

Hence, the solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7

Read more about quadratic equation at:

brainly.com/question/1214333

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3 0
2 years ago
Container A has 800 ml of water and is leaking 6 ml per minute.
Fofino [41]
The answer is 50 minutes.
Explanation: 10*50=500, 1000-500=500
6*50=300, 800-300=500
6 0
3 years ago
Read 2 more answers
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 min
Vlad [161]
The best and most correct answer among the choices provided by your question is the fourth choice or letter D.

The inequality that best represents his practice time is <span>x + y ≥ 45.</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
7 0
3 years ago
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Connie made 1 1/3 pounds of trail mix for a hike. is there a way Connie can break up the trail mix into four bags
IRISSAK [1]
There is way, you just have to divide 1 1/3 by 4 and you get 1/3 ;bs per bag so all the trail mix is distributed equally
5 0
4 years ago
Colin stacks 3 snowballs on top of each other to make a snowman. The snowballs are 7/10 meter, 1/2meter, and 38 centimeters tall
NeX [460]

Answer:

158cm

Step-by-step explanation:

Data obtained from the question. This includes:

Height of first snow ball (H1) = 7/10m

Height of 2nd snow ball (H2) = 1/2m

Height of 3rd snow ball (H3) = 38cm

Total height of snow man (HT) =?

Next we shall covert from m to cm.

This is illustrated below:

For the first snow ball

1m = 100cm

7/10m = 7/10 x 100 = 70cm

For the 2nd snow ball:

1m = 100cm

1/2m = 1/2 x 100 = 50cm

Now we can obtain the height of the snow man as follow:

Height of first snow ball (H1) = 70cm

Height of 2nd snow ball (H2) = 50cm

Height of 3rd snow ball (H3) = 38cm

Total height of snow man (HT) =?

HT = H1 + H2 + H3

HT = 70 + 50 + 38

HT = 158cm

Therefore the height of the snow man in cm is 158cm

3 0
4 years ago
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