1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tamaranim1 [39]
2 years ago
13

The product of (3 + 2i) and a complex number is (17 + 7i).

Mathematics
1 answer:
Vesna [10]2 years ago
8 0
A+bi is a complex number

(3+2i)(a+bi)=17+7i
remember
i²=-1
so
expand and solve
a is the ral part
bi is the imaginary part
ok so
if Ac+Be=dc+fe where c=c and e=e then A=d and B=f

(3+2i)(a+bi)=17+7i
expand/distribute/FOIL
3a+2ai+3bi+2bi²=17+7i
3a+2bi+2ai+2bi=17+7i
3a-2b+2ai+2bi=17+7i
real parts are 3a-2b
imaginary is 2ai+2bi
so

3a-2b=17 and
2ai+2bi=7i

we need to solve
2nd equation, divide both sides by i
2a+2b=7
multiply by -1 and add to other equation

3a+2b=17
<u>-2a-2b=-7 +</u>
1a+0b=10
a=10

subsitue
2a+2b=7
2(10)+2b=7
20+2b=7
2b=-13
b=-13/2


the complex number is
10-(13/2)i or
10-6.5i
You might be interested in
jordan has been offered two summer jobs. one job pays 7 owr hour. the other 50 a week plus 5 per hour. how many hours would jord
mart [117]

He would have to work 24 weeks to get the same amount from each job.

6 0
3 years ago
How do you add and subtract intergers.
DaniilM [7]

Answer:

Add a positive integer by moving to the right on the number line.

Subtract an integer by adding its opposite.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find an equation of the plane through the point (−1,−5,−2)(−1,−5,−2) with normal vector n=⟨−5,−4,−1⟩n=⟨−5,−4,−1⟩.
Ostrovityanka [42]
Consider this option:
1. given: n(A;B;C)=n(-5;-4;-1) and A(-1;-5;-2)=A(x₀;y₀;z₀).
Common view of equation for a plane is Ax+By+Cz+D=0, where A,B,C,D - numbers.
2. from another side using coordinates of A and normal vector it is possible to make up the equation: A(x-x₀)+B(y-y₀)+C(z-z₀)=0 ⇒ -5(x+1)-4(y+5)-(z+2)=0; ⇒ -5x-4y-z-27=0 or 5x+4y+z+27=0.
7 0
3 years ago
Suppose f(x)=3x^2-2x <br> Find f (-4)
Lerok [7]

f(-4) = 3(-4)^2 - 2(-4)

f(-4) = 3(16) + 8

f(-4) = 48 + 8

f(-4) = 56

I think the answer is 56 :)

Please give BRAINIEST :)

7 0
3 years ago
Read 2 more answers
Two numbers 60 and n have LCM of 420. If n is a multiple of 6 less than 90,find the possible value of n
Ber [7]
Lcm of 60 and n = 420
Stated: n <90 and a multiple of 6

420/60 = 7 thus n must be a multiple of 7
Therefore n =42 or 84
3 0
3 years ago
Other questions:
  • Find the range of the function<br> F(x) = (x-2)2 +2
    12·1 answer
  • What are things measured in Quarts?
    13·1 answer
  • Heyy! i have been really confused about this question! can someone explain it to me?
    10·2 answers
  • What is the best estimate for 82% of 503?
    7·1 answer
  • Johan can drive 270 miles on 9 gallons of gas. What is his average mileage?
    10·2 answers
  • Which fraction on the number line is equal to 3? 1/4 2/4 3/4 4/4 5/4 6/4 7/4 8/4 9/4 10/4 11/4 12/4 13/4 14/4 15/4 16/4 17/4 18/
    15·1 answer
  • If the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?
    10·1 answer
  • How to write an essay about citisenship
    10·1 answer
  • Fast and all the answer right I give the person Brainliest
    15·1 answer
  • After four days, Trudy's average exercise time was 45 minutes per day. If she exercises 60 minutes on the fifth day, what will b
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!