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denpristay [2]
3 years ago
9

Line p passes through points (6, 8) and (2, 11). Line q is perpendicular to p. What is the slope of line q?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Slope of p=\frac{11-8}{2-6}

                 = -\frac{3}{4}

∵line q is perpendicular to p

∴Slope of q x slop of p=-1

Slope of line q=\frac{4}{3}

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Step-by-step explanation:

Subtract 0.25 from each to find the next number

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nirvana33 [79]

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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?

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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

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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)

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