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Vedmedyk [2.9K]
3 years ago
6

How can we eliminate an imaginary from the denominator? Simplify 2/(3+5i) to demonstrate.

Mathematics
2 answers:
solmaris [256]3 years ago
8 0
Sure multiple by (3-5i)/(3-5i). Keep in mind i^2 is equal to -1. can you do the rest? 

leva [86]3 years ago
8 0
You can. first multiply both sides of the fraction by (3+5i).
2*(3+5i)/(3+5i)*(3+5i)

(3+5i)*(3+5i)=34

2*(3+5i)/34 divide each side by 2 
(3+5i)/17
\frac{3}{17} - \frac{5i}{17}

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Match the following reasons with the statement givem
ANEK [815]

Answer:

AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent

In triangle RAS and triangle QAT

\angle R =\angle Q   [Angle]

AS =AT    [Side]                                       [Given]

By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.

⇒ \angle 5= \angle 6      [By base ∠'s of isosceles triangle are equal]

By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.

\angle 4, \angle 5 are supplementary and \angle 6, \angle 7 are supplementary.

⇒\angle 4+ \angle 5 =180^{\circ} and

\angle 6+ \angle 7 =180^{\circ}  

Two \angle 's supplementary to equal \angle 's

\angle 4+ \angle 5 =\angle 6+ \angle 7

Since,  \angle 5 =\angle 6  

then, we get;

\angle 4 =\angle 7  [Angle]

then, by AAS postulates,

\triangle RAS \cong \triangle QAT

By CPCT[Corresponding Part of Congruent Triangles are equal]

RS = QT              Hence Proved!

7 0
3 years ago
Given mn, find the value of x.<br> 108
adoni [48]

Answer:

72 degrees

Step-by-step explanation:

Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.

3 0
3 years ago
3 + p = 8 <br><br> Please help me
docker41 [41]

Answer: p=5

Step-by-step explanation: because 3+5=8, try each number till one fits!

5 0
3 years ago
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M = 27x
where x is the price of a t-shirt
3 0
3 years ago
What is the frequency for the scores in the interval 81-100?
Mrac [35]

I think it should be -19


5 0
3 years ago
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