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Slav-nsk [51]
3 years ago
11

In which quadrant is the number 6 – 8i located on the complex plane?

Mathematics
2 answers:
ivolga24 [154]3 years ago
5 0

Answer: The given complex number 6-8i will be located in fourth quadrant

Explanation:

We have a coordinate plane and which consists of four quadrants

In first quadrant both the coordinates (x,y) are positive can be represented as (+,+)

In second quadrant x-axis will be negative and y-axis will be positive and represented as (-,+)

In third quadrant both the coordinates will be negative and represented as (-,-)

In fourth quadrant x-axis will be positive and y-axis will be negative and represented as (+,-)

Our required complex number will lie in fourth quadrant since, its x-axis is positive and y-axis is negative.

antoniya [11.8K]3 years ago
4 0
<span>The number 6 – 8i is located in the 4th quadrant </span><span>on the complex plane.</span>
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A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 5% real fruit juice and Drink B
Romashka [77]

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B  

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

5 0
3 years ago
Rewrite the equation below so that it does not have fractions 3/4x-3=5/6
Slav-nsk [51]

Answer:

9x - 36 = 10

Step-by-step explanation:

3/4 x - 3 = 5/6

The least common multiple of 4 and 6 is 12.

Multiply both sides of the equation by 12.

12 * (3/4 x - 3) = 12 * 5/6

12 * 3/4 x - 12 * 3 = 10

9x - 36 = 10

5 0
3 years ago
Read 2 more answers
Tickets to a school play cost $1.50 for a student and $2.50 for an adult. Clara sold 5 tickets for a total of $10.50. How many o
joja [24]
<span> 2 student tickets
</span><span>=1.50+1.50+2.50+2.50+2.50=10.50</span>
6 0
3 years ago
You have $10 to go bowling with your friends. You need to rent shoes for $4. Each game (g) costs $3. Write and solve an equation
dexar [7]

Answer:

  • The equation is: x = (y - $4) / g

Where x is the number of games you can play;

y is the amount you have

and g is the cost of each game

  • You can play only 2 games

Step-by-step explanation:

From the question, you have $10 to go bowling and you need to rent shoes for $4. Hence, after renting the shoes, you will have $10 - $4 left, that is you will have $6 left. To determine the number of games you can play, that will be the amount you have left after renting shoes divided by the cost of each game.

Let the number of games you can play be x games

and the amount you have be y

and the cost of each game be g

Hence,

x = (y - $4) / g

From the question,

y = $10

and g = $3

∴ x = ($10 - $4)/ $3

x = $6 / $3

x = 2

Hence, you can play only 2 games

6 0
3 years ago
Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?
oksian1 [2.3K]

Answer:

They are both parallel lines

Step-by-step explanation:

they both have the slope of -5/4

8 0
3 years ago
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