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melomori [17]
3 years ago
5

What is the equation? Picture attatched

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0

Answer:

y = x - 5

Step-by-step explanation:

Equation of any two parallel lines differ only by a constant.

Therefore, the equation of the line parallel to $ ax + by + c_1 = 0$ would be ax + by + c₂ = 0.

The equation of the line parallel to $ y = x - 3 $ should be equal to

                                            x - y + c = 0.

Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.

⇒ 3 -(-2) + c = -5 + c = 0

⇒ c = - 5.

Substituting we get:  x - y - 5 = 0

⇒ y = x - 5 is the required equation of the line.

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In May you used 900 ​kilowatt-hours of energy for electricity.
Sloan [31]

Answer:

a) "The total electrical energy use was 3,240,000,000 joules."

b) "The average power use is 1210 watts."

c)

<u>Part 1:</u> "To generate the electricity you​ used, 810 L is needed."

<u>Part 2:</u> "To generate the electricity you​ used, 214.00 gal is needed."

Step-by-step explanation:

a)

1 kilowatt-hours = 3.6x10^6 joules

Converting 900 kilowatt-hours to joules, we have:

900*(3.6*10^6)=3.24*10^9 joules, or

Total Electrical Energy use = 3,240,000,000 joules

"The total electrical energy use was 3,240,000,000 joules."

b)

The month of May has 31 days and 1 day  is 24 hours. So May has:

31*24=744 hours

Now, we divide 900 kW-hr by the number of hours in the month (744 hrs) to get average power use:

\frac{900}{744}=1.21 kW. Since 1000 Watts = 1 kW, we multiply this by 1000 to get the answer in Watts:

1.21 * 1000 = 1210 Watts

"The average power use is 1210 watts."

c)

<u>Part 1:</u>

The conversion efficiency of most generating stations is 33%. So we need to multiply the total electrical energy use (in joules) by a factor of 3 to get the amount of joules required. So:

(3.24 * 10^9)*3 = 9.72 * 10^9 joules

We divide this by 12 million joules to get the number of liters:

\frac{9.72*10^9}{12*10^6}=810

So, 810 liters is needed

"To generate the electricity you​ used, 810 L is needed."

<u>Part 2:</u>

We know that 0.2642 gallons is equal to 1 liters. To get the number of gallons needed, we multiply 810 by 0.2642. So:

810 * 0.2642 = 214.00 gallons

"To generate the electricity you​ used, 214.00 gal is needed."

7 0
3 years ago
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ehidna [41]

Answer:

Step-by-step explanation:

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radius of semicircle = 15.6/2 = 7.8

area of semicircle = πr² = 60.84π mi²

total area = 43.2 + 60.84π ≅ 234.33 mi²

5 0
2 years ago
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Dmitrij [34]

Answer:

1 over 3 (3.14)(32)(2) − 4 over 3 (3.14)(0.53)

Step-by-step explanation:

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3 0
2 years ago
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julsineya [31]

Answer:

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) mx = np , for x<br> What’s the answer
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Step-by-step explanation:

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