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Sergio [31]
3 years ago
7

write the point slope form of the equation of the line that passes through the points (-3,5) and (-1,4)

Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer:

x+2y-7

Step-by-step explanation:

slope (m)=y2-y1/x2-x1

=4-5/-1+3

=-1/2

we have, point slope form of an eqn is

y-y1=m (x-x1)

or, y-5=-1/2 (x+3)

or, 2y-10=-x-3

or, x+2y-7=0 is the required eqn

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4x-4=4x + ___ <br> What is the answer
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Answer:

-4

Step-by-step explanation:

4x - 4 = 4x + ?

-4

4x - 4 = 4x + (-4) ---> 4x - 4 = 4x - 4

done

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Find / or<br> Find1/8of1/9
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Step-by-step explanation:

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3 years ago
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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?

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
What is the correct answer..
solong [7]

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

\therefore \: \sin 40 \degree =  \frac{x}{100}  \\  \\  \therefore \: 0.6427876097=  \frac{x}{100}  \\  \\ \therefore \: 0.6427876097 \times 100= x \\  \\  \therefore \:x = 64.29  \\  \\  \therefore \:x = 64 \: feet

3 0
3 years ago
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