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kari74 [83]
3 years ago
14

Operations with Complex NumbersSimplify.1) 1 + 6i3) 3i + i5) -1 – 8i- 4 - i​

Mathematics
1 answer:
kogti [31]3 years ago
7 0
1. The answer is already in its simplest form.
3. 3i + i is equal to 4i.
5. Combining like terms results in -5 - 9i.
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Metric unit of length
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Centimeters are the metric unit of length
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3 years ago
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The lengths of the diagonals of rectangle ABCD intersect at E. If AE =x+4 and CE= 3x-12. What is the length of BD?
swat32

Answer:

DB = 24

Step-by-step explanation:

First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.

Also, AE + CE = CA

So, using this, we can write this equation:

AE = CE

x + 4 = 3x -12

Subtract 4 from both sides.

x = 3x -16

Subtract 3x from both sides.

-2x = -16

Divide both sides by -2

x = 8

Then, substitute this into AE + CE = CA

x + 4 + 3x - 12 =

8 + 4 + 24 - 12 = 24

Then, because CA = DB,

DB = 24

I hope this helps! Feel free to ask any questions! :)

5 0
3 years ago
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Find the horizontal asymptote
eimsori [14]

Answer:

Correct answer:  h = 3/5  or y = 3/5

Step-by-step explanation:

Given:

h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)

h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get

h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)

The terms 1/x and 1/x²  when x strives ∞ they strives 0

x -> ∞ ⇒ 1/x -> 0  and x -> ∞ ⇒ 1/x² -> 0

h = (3 - 0 - 0) / (5 - 0 + 0)

Horizontal asymptote is h = 3/5 or y = 3/5

God is with you!!!

5 0
3 years ago
In a game, the player wins if he rolls a 2 on a
natima [27]
Since the die is 6 sided, there’s a 1/6 chance he’ll roll a 2. If we divided 100 by 6, it is a 17% success rate.
24 x 17% is 4.08.

He will probably roll successfully 4 times out of 24

Double check: 4/24 can be simplified to 1/6, which is the original probability.
6 0
3 years ago
A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at t
andre [41]

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

7 0
3 years ago
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