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Jet001 [13]
3 years ago
8

What is the product of the complex numbers 3 - 4iand 6+i where i= -1

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
8 0

Answer:

Step-by-step explanation:

(3-4 \iota)(6+\iota)\\=18+3 \iota-24 \iota-4 \iota^2\\=18-21 \iota+4\\=22-21 \iota

mixas84 [53]3 years ago
5 0

Answer:

35

Step-by-step explanation:

Since i=-1, we can rewrite the equation as 3-[4(-1)} multiplied by 6+(-1). Since

4 x-1=, 3-(-4)=7. 6-1=5, and 7x5=35.

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Solve negative one equals negative two v plus two-thirds for v.
makkiz [27]
We write it out as an equation:

-1 = -2v + 2/3

Rearrange:
-1 -2/3 = -2v

Multiply by negative to equal positive
1 2/3 = 2v

Make 1 into a fraction
3/3 + 2/3 = 2v
5/3 = 2v
10/6 = 2v
5/6 = v

The answer is: v equals 5/6
3 0
3 years ago
If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)
Zepler [3.9K]

Answer:

\large\boxed{(f+g)(x)=5x^2+6}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6

6 0
3 years ago
FREE POINTSSS ;)
alina1380 [7]

Answer: A, 102

Step-by-step explanation:

Okay so just find the big square and subtract the holes

big square is 30x20 which is 600

hole #1 is 20x5 = 100

hole #2 is a triangle so you first find the base and height which are 10 and 5 respectively. Then use the triangle area formula a = 1/2bh to find that the triangle's area is 25.

Subtract the holes now

600-100-25 = 475

1 Gallon = 200 square feet covered so divide 475 by 200 to find how many gallons should be used. It's 3 gallons since you can't just buy a fraction of a gallon (Unless your being weird).

One gallon is 34, so 3 gallons is 3*34 = 102

Or in other words... A

hope you learned and can incorporate these methods for future problems :D!

5 0
3 years ago
Titus ate 3/8 of a lasagna. If the lasagna was divided into 16 equal sections, how many sections did Titus eat?
svetlana [45]
6 sections of lasagna because 3/8 × 16=6
8 0
3 years ago
The sum of two numbers is 167. The second number is 29 less than three times the first number. Fine the numbers. The two require
Anettt [7]

Answer:

49 and 118

Step-by-step explanation:

Let the two numbers be x and y

x+y = 167

y = 3x-29

Substitute into the first equation

x+ 3x-29 = 167

Combine like terms

4x - 29 = 167

add 29 to each side

4x = 167+29

4x = 196

Divide by 4

4x/4 = 196/4

x = 49

x+y = 167

49+y = 167

y = 167-49

y =118

4 0
3 years ago
Read 2 more answers
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