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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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A pirate marked the Palm tree on his treasure map and buried his treasure 30 feet away. Do you think he'll be able to easily fin
marissa [1.9K]
I think it would be easy to find it because its 30 feet away and even if he didn't know his feet he could always leave rocks/pebbles to the treasure so he won't lose it.
6 0
3 years ago
The second angle of a triangle is double the first angle. The third angle is 40 less than the first angle. Find the three angles
ArbitrLikvidat [17]

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

6 0
3 years ago
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a can
34kurt
Answer: 59.49 meters
In this case, Gabriella flew 4 times with different distance. To answer this question you just need to add all the distance, The calculation would be:

Total distance = distance 1 + distance 2 + distance 3 + distance 4
Total distance = 8.05 meters+ 17.71 meters + 14.38 meters + 19.35 meters= 59.49 meters.
3 0
3 years ago
You and a friend stand back to back. You run 20 feet forward, then 15 feet to your right. At the same time, your friend runs 16
Stells [14]

Answer:

Distance traveled by the snowball  = 45feet

Step-by-step explanation:

The distance traveled by the snowball = distance of hypothenus for both Right angle triangle

1st pythagoras =

X² = 20² + 15²

X = (20² + 15²)¹/² = 25 feet

2nd pythagoras =

X² = 16² + 12²

X = (16² + 12²)¹/² = 20 feet

Distance traveled by the snowball = 20 + 25 = 45feet

4 0
3 years ago
Read 2 more answers
Determine if the statement is true or false.
seropon [69]

Answer:

False

Step-by-step explanation:

There are two concepts:

1. Row Echelon Form: There can be more than two <em>row echelon forms</em> of a single matrix, so different sequences of row operations can lead to different <em>row echelon forms</em> of a single matrix.

2. Reduced Row Echelon Form: It's unique for each matrix, so different sequences of row operations always lead to the same <em>reduced row echelon form</em> for the same matrix.

7 0
3 years ago
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