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Stels [109]
3 years ago
12

Factor over the complex numbers, if possible: x² + 2xyi - y2 What is the answer?

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

9514 1404 393

Answer:

  (x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

  (a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

  x² +2xyi +(yi)² = (x +yi)²

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Reflection across y=-2​
kherson [118]

Answer: 10

Step-by-step explanation:

Msnhajhagsshnsbbsgsjsjsnjsjs

8 0
3 years ago
Pls help is due tomorrow and if u help i will give u brainliest
Reil [10]

Answer:

Search it up

Step-by-step equation:

Just search up the website at the bottom of the paper.

6 0
3 years ago
What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34
Galina-37 [17]

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30              given

a1 = 6               given  

t30 = 209         calculated from step 2

Sum = (a1 + t30)*n/2        Substitute

Sum = (6+ 209)*30/2       Combine like terms and divide by 2

sum = 215 * 15                  Multiply

Sum = 3135                      Answer

4 0
3 years ago
The perimeter of an isosceles triangle is 71 centimeters. The measure of one of the sides is 22 centimeters. What are all the po
denis23 [38]
An isosceles triangle has two equal side lengths and the other side length is different. Therefore, possible measures of the other two sides are either 
22 cm and 27 cm,  or  22 cm and 24.5 cm. 
4 0
3 years ago
1 whole and 1/4 - 8/10 show your work please
NARA [144]

Answer:

9/20

Step-by-step explanation:

first you have to make 1 1/4 an improper fraction so since the denominator is 4 you add 4 to the numerator which is 1 so your fraction would be 5/4.

Second you make the denominators the same so you have to multiply them together. but since your multiplying the denominators you have to multiply the numerator as well. so for 5/4 you would multiply both the numerator and denominator by 10 so your fraction will now be 50/40. now you  multiply 8/10 by 4 so your new fraction is now 32/40

Third you subtract. you only have to subtract the numerators so 50-32 is 18 so your answer is 18/40

Last you need to simplify the highest number you can divide both of them by is 2 so now you divide 18 by 2 which makes 9 then you divide 40 by 2 which is 20 so your answer is 9/20

Sorry i'm not the best at explaining things but i tried my best

Hope this helps you out and have a great day : )

5 0
2 years ago
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