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Kisachek [45]
3 years ago
13

Solve simultaneous equation X-2y=1 2x-y=2

Mathematics
2 answers:
Step2247 [10]3 years ago
7 0

Answer: x=1,y=0

Step-by-step explanation:

X-2y=1.....equation 1

2x-y=2.....equation 2

X=1+2y.......equation 3

Substitute equation 3into 2

2(1+2y)-y=2

2+4y-y=2

2+3y=2

3y=2-2

3y=0

Y=0/3

Y=0

Substitute for y=0 in equation 1

X-2y=1

X-2(0)=1

X-0=1

X=1

X=1 & Y=0

iogann1982 [59]3 years ago
7 0

Answer:

x=1

y=0

Step-by-step explanation:

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What us the slope of this line
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Answer:

slope = \frac{1}{2}

Step-by-step explanation:

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-(-2)}{4-0} = \frac{0+2}{4} = \frac{2}{4} = \frac{1}{2}

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2 years ago
How to use the unit circle to find the value of tan (-180)?
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The point on the unit circle corresponding to -180 degrees is
 ((x, y) = (-1, 0). 

<span>tan(-180°) = y/x = 0/(-1) = 0</span>
3 0
3 years ago
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
3 years ago
A country's population in 1993 was 116 million.
labwork [276]

Answer:

124 million in 2007

Step-by-step explanation:

This is a proportion match question, we consider 121-116 to represent a 9 year change = 5 rate of change per 9 years. We need to find one year so we divide 5/9=0.55 per year growth. =2002- 2007= 0.55 million x 5 = 2.8million growth add 121 million = 121 =123.8 in 2007 = 124 million to nearest m.

7 0
3 years ago
Hong compared the player statistics from his teams tennis season. He determined that being taller implies that a player has fast
polet [3.4K]

There is a correlation between height and speed of the serve

<h3>How to interpret the player statistics?</h3>

From the question, we understand that:

The taller a player, the faster the serve

This means that:

Height implies speed

In other words, there is correlation between the height and the speed of the service

Read more about correlation at:

brainly.com/question/4219149

#SPJ1

4 0
2 years ago
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