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4 years ago

Write the sum or difference in the standard form a + bi.

Mathematics

1 answer:

REY [17]4 years ago

8 0

Answer:

Sum = 13+ 4i Difference = -5 - 8i

Step-by-step explanation:

Given complex number as (4 -2i) and (9 + 6i)

Sum of these complex number is

(4 -2i) + (9 + 6i) = ( 4 +9) + (6i -2i)

= 13 +4i

Difference of these complex number is

(4 -2i) - (9 + 6i) = (4 -9) - (2i +6i)

= -5 - 8i

Hence the sum and Difference of given complex numbers are

Sum = 13+ 4i Difference = -5 - 8i Answer

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Integral of of sin x/cosˆ2 x

marin [14]

Answer:

$\sec x + c$

Step-by-step explanation:

$\int \frac{ \sin \: x}{ { \cos}^{2}x } \: dx \\ \\ = \int \frac{ \sin \: x}{ { \cos}x } . \frac{ 1}{ { \cos}x } \: dx \\ \\ = \int \tan x . \sec x \: dx \\ \\ = \sec x + c$

7 0

3 years ago

Find the point 3x - 7x₂ =5. of the lines x, - 5x2 = 1 and of intersection

tia_tia [17]

Answer:

( $\frac{9}{4},\frac{1}{4})$

Step-by-step explanation:

We are given that two lines

$x_1-7x_2=5$ and $x_1-5x_2=1$

We have to find the intersection point of two lines

Let $3x_1-7x_2=5$ (equation 1)

$x_1-5x_2=1$ (Equation 2)

Multiply equation 2 by 3 then subtract from equation 1

$-7x_2+15x_2=5-3$

$8x_2=2$

$x_2=\frac{2}{8}=\frac{1}{4}$

Substitute $x_2=\frac{1}{4}$ in the equation 1

Then, we get

$3x_1-7\frac{1}{4}=5$

$3x_1-\frac{7}{4}=5$

$3x_1=5+\frac{7}{4}=\frac{20+7}{4}=\frac{27}{4}$

$x_1=\frac{27}{4\times 3}=\frac{9}{4}$

Hence, the intersection point of two given lines is ( $\frac{9}{4},\frac{1}{4})$

6 0

3 years ago

I needhelp please :(

Karo-lina-s [1.5K]

Answer:

1/8

Step-by-step explanation:

-5/8+3/4 =( -20+24)/32 = 4/32

4/32= 1/8

4 0

3 years ago

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

malfutka [58]

Answer and Step-by-step explanation:

First, plot the y-intercept. This is (0, -8)

So, go down -8 units from the origin (0,0).

Now, go down 3 and right 1 units from -8, until you reach the bottom. Do the same thing from -8 but up 3 and left 1 unit.

This is what it should look like:

#teamtrees #WAP (Water And Plant)

8 0

3 years ago

What is the answer to 13 in precise detail?

lyudmila [28]

Well, I don't know. Let's see . . . . .

First draw: One 'M' available out of 11 letters.   Probability of picking it = 1/11.
2nd draw: Four 'I's available out of 10 letters. Probability of picking one = 4/10.
3rd draw: Four 'S's available out of 9 letters.   Probability of picking one = 4/9.
4th draw: Three 'S's available out of 8 letters. Probability of picking one = 3/8.
5th draw: Three 'I's available out of 7 letters. Probability of picking one = 3/7.
6th draw: Two 'S's available out of 6 letters.   Probability of picking one = 2/6.
7th draw: One 'S' available out of 5 letters.   Probability of picking it = 1/5.
8th draw: Two 'I's available out of 4 letters.   Probability of picking it = 2/4.
9th draw: Two 'P's available out of 3 letters.   Probability of picking one = 2/3.
10th draw: One 'P' available out of 2 letters.   Probability of picking it = 1/2.
11th draw: One letter left. It is an 'I'. Probability of picking it = 1 .

Probability of all of those draws in order =

(1/11) x (4/10) x (4/9) x (3/8) x (3/7) x (2/6) x (1/5) x (2/4) x (2/3) x (1/2) x (1) =

   1,152 / 39,916,800 =

   1 / 34,650 =

   0.00002886 =

   <em> 0.002886 percent</em> (rounded)

Not a good bet. (But better than the lottery.)

7 0

4 years ago