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elixir [45]
3 years ago
9

3cis(5pi/4) in polar form

Mathematics
1 answer:
madreJ [45]3 years ago
8 0
Rectangular form:
z = -2.1213203-2.1213203i

Angle notation (phasor):
z = 3 ∠ -135°

Polar form:
z = 3 × (cos (-135°) + i sin (-135°))

Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)

Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)

Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034
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Llana [10]
The correct answer is:  " √x  −  <span>2√b " .
</span>_________________________________________________________

       The "conjugate" of  " √x  + 2√b "  is:  " √x  −  2√b " .
_________________________________________________________

Explanation:
_________________________________________________________
      In an expression with 2 (TWO) terms;  that is, in a "binomial expression", 
the "conjugate" of that expression refers to that very expression — with the "sign" in between those two terms—"reverse" (e.g. "minus" becomes "plus" ; or, "plus" becomes "minus" .) .
_________________________________________________________ 

      →  So:  We are given:  " <span>√x + 2√b " .
</span>
      →  Note that this is a "binomial expression" ;

      →  that is, there are 2 (TWO) terms:  " <span>√x " ; and:  " 2√b " .
_________________________________________________________

To find the "conjugate" of the given binomial expression:

     </span>→  " <span>√x + 2√b "  ; 

     </span>→  We simply change the "+" {plus sign} to a "<span>−"  {minus sign} ;  and rewrite:
___________________________________________________________

     </span>→  " √x − 2√b "  ; 

     →  which is the "conjugate" ; and is the correct answer:
___________________________________________________________
→  " √x − 2√b " ;   is the "conjugate" of the expression:  " <span>√x + 2√b " . 
___________________________________________________________
     
</span>→  {that is:  " √x − 2√b " ;  is the conjugate.}.
___________________________________________________________
7 0
3 years ago
. Which function's graph has a vertex at (-1, -3) and contains the point (2, 15)?<br> HELPPP PLEASEE
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Using the vertex formula we can write the follwoing equation

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Which means our final equation is

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Answer:

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