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mash [69]
4 years ago
12

Find the midpoint between the complex numbers. z1 = 5 - 2i z2 = 8 + i

Mathematics
1 answer:
netineya [11]4 years ago
7 0

The given complex numbers are z_1 = 5-2i and z_2 = 8+i.

For given two complex numbers z_1 = x_1+iy_1 and z_2 = x_2+iy_2, the midpoint is given by the formula (\frac{x_1+x_2+y_1+y_2}{2})

So, midpoint = \frac{5+8-2i+i}{2}

= \frac{13-i}{2}

= {6.5-0.5i}

Hence, the midpoint of the given complex numbers is (6.5, -0.5)

Option 3 is the correct answer.

You might be interested in
Given f (x) = 1/2x+8, which equation represents the inverse, g (x)?
ioda

Two functions f(x) and g(x) are inverses if and only if:

f( g(x)) = g(f(x)) = x.

With that, we will find that the correct option is: g(x) = 2*x - 16

Let's see how to find the inverse of the given function.

The given function is: f(x) = (1/2)*x + 8

Notice that this is linear, thus, we propose an inverse that is also linear:

g(x) = a*x + b

Now we evaluate g(x) in f(x) to get:

g(f(x)) = a*f(x) + b

And that must be equal to x, so we get:

a*f(x) + b = x

a*((1/2)*x + 8) + b = x

(a/2)*x + a*8 + b = x

Then we have two equations:

(a/2) = 1, so a = 2.

a*8 + b = 0

And we know that a = 2, so we can replace that:

2*8 + b = 0

b = -16

Then the inverse function is:

g(x) = 2*x - 16

If you want to learn more, you can read:

brainly.com/question/2541698

6 0
2 years ago
PLS HELP ILL GIVE BRIABLIEST!
nlexa [21]
The answer b is correct
3 0
3 years ago
Help me plzzzz<br><br> (x+1)^2 -3(x+2)<br><br> If you could give an explanation that would be great!
Margarita [4]

Answer:

x^2-x-5

Step-by-step explanation:

1. expand the square

(+1)(+1)−3(+2)

2. distribute

(+1)+1(+1)−3(+2)

3. distribute

^2++1(+1)−3(+2)

4. multiply by 1

^2+++1−3(+2)

5. combine like terms

^2+2+1−3(+2)

6. distribute

^2+2+1−3−6

7. subtract the numbers

^2+2−5−3

8. combine like terms

^2−−5

9. gg you are done

^2−−5

4 0
3 years ago
Is 16x^2-56x+49 a perfect square trinomial? How do you know ? If it is, factor the expression. Please show your work
daser333 [38]

Answer:

  • yes
  • (4x -7)^2

Step-by-step explanation:

If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.

  16x^ = (4x)^2 . . . . a perfect square

  49 = 7^2 . . . . . . . a perfect square

  -2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...

  16x^2 -56x +49 = (4x -7)^2

_____

The sign in the binomial factors is the same as the sign of the middle term of the trinomial.

6 0
3 years ago
Is 62.5 greater than or less than 62.35
SSSSS [86.1K]
Greater it is equal to 62.50
3 0
3 years ago
Read 2 more answers
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