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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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Complete this proof.<br><br> Given: EC AC, DB AC, ∠A = ∠F<br> Prove: ΔMDF ∼ ΔNCA
Gelneren [198K]

Answer:

Proved

Step-by-step explanation:

Given: EC || AC, DB || AC, ∠A = ∠F

Prove: ΔMDF ∼ ΔNCA

Solution

See diagram attached to the solution to better understand the following workings.

Redrawing ΔMDF or rotating to be facing the same direction.

EC is parallel to AC

DB parallel to AC

Using similar triangle theorem:

If ΔMDF ∼ ΔNCA

Ratio of Corresponding sides would be equal

(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)

DF/ CA = MD/NC = FM/AN

∠A = ∠F

∠M = ∠N

∠D = ∠C

Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.

ΔMDF ∼ ΔNCA

6 0
3 years ago
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Please answer the following:
serg [7]
The sum of all interior angles in a polygon is
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3 0
3 years ago
Six times a number is 45 greater than the the product of the number and -3. Find the number.
blagie [28]

Let us try to formulate the expressions one by one.

let the number be x.

Step 1:

six time the number is 6*x = 6x

Step 2:

product of the number and -3 is -3x

Step 3:

now let us make equation for it:

6x = -3x +45

adding 3x on the left side,

6x+3x = 45

9x = 45

dividing right side by 9

x=45/9 = 5

So the number is x=5



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3 years ago
What are the three major responsibilities of the county sheriff? (Site 1)
UNO [17]

Answer:1. They make policies

2. They perform executive duties

3. They plan environmental and land use policy

Step-by-step explanation:

3 0
3 years ago
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Hello it's mathhhhhh
yaroslaw [1]

Answer:

36

Step-by-step explanation:

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3*4=12

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