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djverab [1.8K]
2 years ago
7

If i^2 = −1 and x = i + 9, which is the result of squaring x?

Mathematics
1 answer:
Anestetic [448]2 years ago
8 0

Answer:

80 + 18i

Step-by-step explanation:

i² = -1

x = i + 9

x² = (i + 9)²

Applying; (a + b)² = a² + 2ab + b² concept,

x² = i² + 18i + 81

We know that i² = -1

So x² = -1 + 18i + 81

x² = 81 - 1 + 18i = 80 + 18i

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What is (2m+7)+(4d+6)
SpyIntel [72]

Answer:

4d+2m+13

Step-by-step explanation:

5 0
2 years ago
Finding out how many events can someone attend with the cost of $36
Tcecarenko [31]
They're allowed to join for $15. And for every event, they have to pay $3.

3x = 21

x = 7

Someone who has $36 can attend 7 events.
6 0
3 years ago
A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es
iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550}  (x-550)\\\\y=\frac{1}{2}x-25

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

3 0
2 years ago
Unknown angle problems with algebra <br> Solve x in the diagram below
Alina [70]

Answer:

35

Step-by-step explanation:

Alright this is like a linear pair. All three angles add up to 180; so this is the set up:

40 + 2x + 30 + 40 = 180

2x + 110 = 180

2x = 70

x=35

8 0
2 years ago
Solve for n: 5/50 = n/110<br><br> n = 5<br><br> n= 11<br><br> n = 500<br><br> n = 55
Rus_ich [418]
5/50=n/110
Do the cross product.
50*n=5(110)
50n=550
n=550/50
n=11
Answer: n=11. 
6 0
3 years ago
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