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loris [4]
1 year ago
11

Hello! Would like help on parts a & b. Thanks!

Mathematics
1 answer:
aleksandrvk [35]1 year ago
4 0

Part A

Looking at the graph

we have that

z1 ------> the coordinates are (3,5)

so

the standard form is z1=3+5i

z2 ------> the coordinates are (6,-3)

so

the standard form is z2=6-3i

Find out the distance between them

z2-z1=(6-3i)-(3+5i)

z2-z1=(6-3)+(-3i-5i)

z2-z1=3-8i

Find out the magnitude of the complex number (Applying the Pythagorean Theorem)

\begin{gathered} d_{z1z2}=\sqrt{(3)^2+(-8)^2} \\ d_{z1z2}=\sqrt{73} \end{gathered}

The distance between z1 and z2 is the square root of 73 units

Part B

Find out the conjugate of z2

we have

z2=6-3i

so

Remember that

You find the complex conjugate simply by changing the sign of the imaginary part of the complex number

therefore

The conjugate of z2 is (6+3i)

To find out geometrically change the sign of the y-coordinate (imaginary part) of the complex number (Reflect the given point over the x-axis)

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Answer:

B

Step-by-step explanation:

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3 years ago
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4 0
2 years ago
Item 10 Find the amount of time. I=$450, P=$2400, r=7.5%
Alex787 [66]
The answer is:  "2.5 years" . 
___________________________________________________
  Note:   I = P * r * t  ;    { " Interest = Principal * rate * time "} ; 

          →     Solve for "t" {"time", in years} ;  

Divide each side of the equation by "{P * r}"  ;  
   to isolate "t" on one side of the equation ;

→  I / (P * r)  = {P * r * t) / (P * r} ; 

to get:  " I / (P * r) = t " ;  

  ↔  t = I / (P * r) ; 

Given:  I = $450 ;  
  
            <span>P = $2400 ; 

            r = 7.5% = 7.5/100 = 0.075 ; 

Plug in these values into the formula to solve for the time, "t" :

        </span>→  t  =  I  /  (P  *  r )   ;  

                 =  $450  /   (<span>$2400 * 0.075) ;

                 =  </span>$450  /   ($2400 * 0.075) ;

                 =  $450 / $180 ; 

                 =  $45 / $18 ; 

                 =  ($45 ÷ 9) / ($18 ÷ 9) 

                 =  $5 / $2 ; 

                 =  2.5  ; 

        →  t  =  2.5 years.
_______________________________________________________
The answer is:  "2.5 years" . 
_______________________________________________________
7 0
3 years ago
Xsquared -5x= 2x-6 what is the solution
mote1985 [20]
<span>Xsquared -5x= 2x-6
x^2 - 5x - 2x + 6 = 0
x^2 - 7x + 6 = 0
(x -6)(x-1) = 0
x-6 = 0, x = 6
x - 1 = 0, x = 1
answer
solutions
x = 1 and x =6</span>
4 0
3 years ago
Read 2 more answers
Is it possible to create two triangles with congruent side lengths but different angle measurements?
kotykmax [81]
Yes. If the side lengths are different, you can end up with different angle measurements (example: SSA~ property. You can have two sides that are the same but you can make two different triangles with those side lengths and that one angle.)
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