All categories

2 years ago

Write (9 + 6i) − (1 + 3i) as a complex number in standard form.

Mathematics

1 answer:

777dan777 [17]2 years ago

6 0

Answer:

8 +3i

Step-by-step explanation:

(9 + 6i) − (1 + 3i)

Distribute the minus sign

(9 + 6i) − 1 - 3i

Combine like terms

9-1 + 6i -3i

8 +3i

You might be interested in

-a^2+46a-480=0 a - ?

sattari [20]

a = 30
a = 16

-a² + 46a -480 = 0

(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0

(-a + 30) = 0 ; (a - 16) = 0
-a = -30 ; a = 16
a = 30

To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0

a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0

5 0

3 years ago

Read 2 more answers

what 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same? 17,_,_

Komok [63]

The answer is 25, 33. The difference between each consecutive number is 8.

5 0

3 years ago

If the local linear approximation of f(x) = 2cos x + e^2x at x = 2 is used to find the approximation for f(2.1), then the % erro

yKpoI14uk [10]

Answer-

The % error of this approximation is 1.64%

Solution-

Here,

$\Rightarrow f(x) = 2\cos x + e^{2x}$

$\Rightarrow f'(x) = -2\sin x + 2e^{2x}$

And,

$\Rightarrow f(2) = 2\cos 2 + e^{4}$

$\Rightarrow f'(2) = -2\sin 2 + 2e^{4}$

Taking (2, f(2)) as a point and slope as, f'(2), the function would be,

$\Rightarrow y-y_1=m(x-x_1)$

$\Rightarrow y-(2\cos 2 + e^{4})=(-2\sin 2 + 2e^{4})(x-2)$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(x-2)+(2\cos 2 + e^{4})$

The value of f(2.1) will be

$\Rightarrow y=(-2\sin 2 + 2e^{4})(2.1-2)+(2\cos 2 + e^{4})$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(0.1)+(2\cos 2 + e^{4})$

$\Rightarrow y=64.5946$

According to given function, f(2.1) will be,

$\Rightarrow f(2.1) = 2\cos 2.1 + e^{2(2.1)}$

$\Rightarrow f(2.1) = 65.6766$

$\therefore \%\ error=\dfrac{65.6766-64.5946}{65.6766}=0.0164=1.64\%$

5 0

3 years ago

I need help. I have been trying to figure it out for days and can not do it.Polynomial Function

almond37 [142]

The zeros are -2, 1, and 2
If you graph it you can find out the rest

6 0

3 years ago

(74pts) I offer all my points to anyone but help me! Write a real-world problem that can be represented by the algebraic equatio

musickatia [10]

Jane is playing a game with Mike. Right now, Mike is winning, he has 10 more than 5 times the points that Jane has. If Jane has 47 points, how many points does Mike have?

or you could do

Martha is doing an inventory of all the goods in her shop. For the brand Toms shoes, she should have recieved an order that would have brought the total number of Toms shoes in her store to 10 more than 5 times the number of shoes she has now. If Martha has 89 pairs of Toms in her store, how many would she have had, if she had recieved the delivery?

hope this helped :)
alisa202

3 0

3 years ago

Read 2 more answers