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andrew-mc [135]
2 years ago
5

Find the product of each pair of complex conjugates. (3 + 8i)(3 – 8i) =

Mathematics
1 answer:
VMariaS [17]2 years ago
8 0

Step-by-step explanation:

By Difference of Squares,

a² - b² = (a + b)(a - b).

=> (3 + 8i)(3 - 8i) = 3² - (8i)²

= 9 - 64i² = 9 - 64(-1) = 73.

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Luke makes fruit cakes for a stall at a village fete. It costs Luke £1.80 for
zalisa [80]

Answer:

2.43

Step-by-step explanation:

1.80 x 0.35 + 1.80

5 0
3 years ago
A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit ve
Fed [463]

Answer: ( -0.731,  0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

x = 1*cos(137°) = -0.731

y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731,  0.682)

8 0
2 years ago
How many solutions 9x +2y =9 -3x + y=2
Tju [1.3M]

Answer:

4

Step-by-step explanatio

6 0
2 years ago
solve the system of equations below by graphing both equations with a pencil and paper what is the solution y=2x-4 y=-x+5
miss Akunina [59]

Answer:

The coordinate of the points on the graph as shown , where                  ( x ,y ) = ( 3 , 2 )

Step-by-step explanation:

Given as :

The two algebraic equation is

y = 2 x - 4   .......A     and  y = - x + 5         ........B

The given two algebraic equation can be solved by putting the one variable to the other equation

Now , put the value of y  from Eq A into the Eq B

I.e 2 x - 4 = - x + 5

or, 2 x + x = 5 + 4

or, 3 x = 9

∴  x = \frac{9}{3}

I.e x = 3

So The value of x = 3

Again,  put the value of x in the equation A

I.e y = 2 x - 4

or, y = 2 × 3 - 4

∴  y = 6 - 4

I.e y = 2

So The value of y = 2

So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )

Hence The coordinate of the points on the graph as shown , where               ( x ,y ) = ( 3 , 2 )  Answer

6 0
2 years ago
Read 2 more answers
What's the answer of 13846+8273636-3763x8273736
ipn [44]
13846+8273636
= 8287482

8287482-3763
=8283719

8283719x8273736
=6.8537304^13
7 0
3 years ago
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