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umka2103 [35]
3 years ago
5

Simplify the following expression into the form a+bi where a and b are rational numbers

Mathematics
1 answer:
hoa [83]3 years ago
7 0

- 28 - 40i

note that i² = (√-1)² = - 1

expand product of factors using FOIL

= - 6 - 6i - 14i - 14i² - 20i + 36i²

= - 6 - 6i - 14i + 14 - 20i - 36

= - 28 - 40i


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One positive number is 5 times another number. The difference between the two is 1480.
Stella [2.4K]

Hey there!

Let's create a systems of equations with x and y to find our numbers.

x=5y

x-y=1480

Let's plug our x value into the second equation.

5y=y=1480

4y=1480

y=370

Now we multiply this number by five as the first equation says to get our x.

x=1850

Our numbers are 1850 and 370.

I hope this helps!

4 0
3 years ago
Please help. will give brainliest to correct answer :)
e-lub [12.9K]

Answer:

(3,-5)

Step-by-step explanation:

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HELP PLEASE, I will mark brainless
ahrayia [7]
To find the slope take two ordered pairs and put them in form of x2-x1/y2-y1 and then you can find the slope.

(-2,17) (-3,20)

(-2)-(-3) = 1
(17)-(20)=-3

slope is 1/-3
4 0
3 years ago
A missing fraction on a number line is located exacly halfway between 3/6 and 5/6. What is the missing fraction?
kap26 [50]
The missing number would be 4/6, or 2/3.

The missing number can be found by finding the absolute distance in between the numbers, dividing it and then adding it to the smaller number.

(5/6-3/6)/2=(2/6)/2=1/6
3/6+1/6=4/6 or 2/3

8 0
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Type the correct answer in each box. Use numerals instead of words.
MrRa [10]

Answer:

4 Blue chips

6 Yellow chips

10 Red chips

Imagine 20% as 2 of 10. We have 20 chips, and that's double of that. So if we have 2/10... we will have 4/20

Same with the yellow chips. Imagine 30% as 3 of 10, again double that... 6/20.

It doesn't directly say the percent of design a computer representation but we can infer that if we have 20% and 30%... that makes 50%, there is only 100 in a percent, so that means there is 50% left! We repeat the process where we envision 50% as 5 of 10, double that. Now we have 10 of 20, 50%!

4 0
3 years ago
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