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puteri [66]
3 years ago
13

Please help me how to multiply

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0
You got 81-36i because you simply squared each term individual. However, in order to square the term, you must multiply the terms like this: (9-6i)(9-6i)

To multiply these terms, you use a process called FOILing. The letters stand for first, outer, inner, last, referring to the parts of the equation that you multiply. After you multiply all four times, you add the terms. You do so as following;

First: the first terms in both parts. 9 x 9 = 81
Outer: the first term in the first section, and the second term in the second. 9 x -6i = -54i
Inner: the second term in the first section, and the first term in the second. -6i x 9 = -54i
Last: the second term in both parts. -6i x -6i = 36i^2. In math, i = the square root of -1, so i^2 is -1. multiply 36 by -1 and you get -36.

After all the multiplication, you get: 81-54i-54i-36. After combining like terms, you finish with 45-108i.
Travka [436]3 years ago
7 0
Use:(a-b)^2=a^2-2ab+b^2\\-------------------------------\\\\(9-6i)^2=9^2-2\cdot9\cdot6i+(6i)^2=81-108i+36i^2\\\\=81-108i+36(-1)=81-108i-36=45-108i\\\\-------------------------------\\\\i=\sqrt{-1}\to i^2=1
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Find two positive numbers if their ratio is 8:5 and the difference is 150.
natima [27]
Let's call the two numbers x and y. We can write a system of equations to describe the situation:

5x = 8y

x - y = 150

Let's solve the first equation for x:

x = 8y/5

Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:

(8y/5) - y = 150

Simplify:

3y/5 = 150

3y = 750

y = 250

If y = 250, then x is:

x = 8(250)/5 = 400

The answer is 250 and 400.






7 0
3 years ago
How tall would one million pennies be in centimeters.And how do you know
Vikki [24]
One US-penny is 19 mm in diameter.

One British-penny is 20.3 in diameter.

We can make an accurate measurement of the diameters, or research on the internet.


1 milion US_pennies are

1,000,000*19 mm = 19,000,000 mm = 1,900,000 cm tall, since 1cm=10mm


1 milion British_pennies are 

1,000,000*20.3 mm = 20,300,000 mm = 2,030,000 cm tall, since 1cm=10mm  


8 0
3 years ago
Compare the linear functions. Which function has the largest y-intercept?
Jobisdone [24]

Answer:

the one where it passes -2

Step-by-step explanation:

-2 > -3

3 0
3 years ago
Read 2 more answers
30 POINTS!!!!! WILL MARK BRAINLST!
bazaltina [42]

Answer:

Reduction

Step-by-step explanation:

3 0
3 years ago
5 x 10 to the 6th power is how many times larger than 5 x 10 to the 4th power. PLEASE RESPOND FAST
Alexandra [31]

Answer:

5 x 10 to the 6th power is 5,000,000

5 x 10 to the 4th power is 50,000

5,000,000 / 50,000 = 100

it is 100 times larger

Step-by-step explanation:

8 0
3 years ago
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