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gregori [183]
3 years ago
11

Examine the fraction 3+2i4−2i. Which expression is the first step to simplify the fraction? 3+2i4−2i⋅3−2i3−2i

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

The correct answer is the last option.

Step-by-step explanation:

When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.

For the expression:

\frac{3 + 2i}{4-2i
}

The denominator conjugate is 4 + 2i

When multiplied, the denominator is:

4 ^ 2 -4i ^ 2 = 16 -4 (-1) = 20

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Evalue f(x)=(-2)^2-3(-2)+5/(-2)^2+1
Nina [5.8K]
F(x)=4+6+5/4+1
F(x)=4+6+5/5
F(x)=10+1=11

Answer =11
8 0
3 years ago
GIVEN: LJ || WK || AP, PL || AG.
galina1969 [7]

Answer:

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#12

In the given figure

∵ LJ // WK

∵ LP is a transversal

∵ ∠1 and ∠KWP are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠1 = m∠KWP

∴ ∠1 ≅ ∠KWP ⇒ (1)

∵ WK // AP

∵ WP is a transversal

∵ ∠KWP and ∠WPA are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠KWP = m∠WPA

∴ ∠KWP ≅ ∠WPA ⇒ (2)

→ From (1) and (2)

∵ ∠1 and ∠WPA are congruent to ∠KWP

∴ ∠1 and ∠WPA are congruent

∴ ∠1 ≅ ∠WPA ⇒ (3)

∵ WP // AG

∵ AP is a transversal

∵ ∠WPA and ∠2 are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠WPA = m∠2

∴ ∠WPA ≅ ∠2 ⇒ (4)

→ From (3) and (4)

∵ ∠1 and ∠2 are congruent to ∠WPA

∴ ∠1 and ∠2 are congruent

∴ ∠1 ≅ ∠2 ⇒ proved

8 0
3 years ago
I need help<br> With this plz
s2008m [1.1K]

Answer:

The discount is the same.

Step-by-step explanation:

We need to find the ratios of both discounts.

41/50 = 61.5/75

If the question is True, this means that the ratios should be the same. So we have to cross multiply to find the answer.

75*41 = 50*61.5 = 3075

These two multiplication problems both equal 3075. Since the ratios are equal, the discounts are also equal.

4 0
3 years ago
Suppose A and B represent two different school populations where A &gt; B and A and B must be greater than 0. Which of the follo
lina2011 [118]
C. A^2 +B^2 will be the largest because we know that (a+b)^2 = a^2 +2ab +b^2

so than you check these other choices this ie the largest sure 

hope this will help you 
8 0
4 years ago
What is 0.22 in fraction​
Shtirlitz [24]

Answer:

unsimplified: 22/100 & simplified: 11/50

Step-by-step explanation:

For example:

0.30 would be 30/100 or 3/10

3 0
3 years ago
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