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ikadub [295]
3 years ago
6

Determine the slope intercept form of the linear equation x/2-y+6=0

Mathematics
1 answer:
luda_lava [24]3 years ago
4 0

Answer:

General equation of a line:

y = mx + b

then express in that form:

\frac{x}{2}  - y + 6 = 0 \\ \\   - y =  -  \frac{x}{2}  - 6 \\  \\ { \boxed{ \boxed{y =  \frac{1}{2} x + 6}}}

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A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 m
nekit [7.7K]

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

6 0
3 years ago
Okay so imugwy and wat is 100*3/6
jonny [76]

Answer:

what is your questions mate I mm didn't understand ¯\_(ツ)_/¯

Step-by-step explanation:

,When a percent amount is multiplied to another number, the operation produces a value that equals the given percent of the original number. ... Multiplying a number by 100 percent is a just variation of the multiplicative identity and will result in the value being unchanged.

4 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
4 years ago
A lawyer has an annual income of $240,000. The income tax that doctor has to pay is 6%. What is the amount of income tax in doll
ZanzabumX [31]

Answer:

Step-by-step explanation:

240,000*6=14,400 dollars

the dr has to be taxes 14,400 dollars

4 0
3 years ago
(y= –2x – 5<br> Ty= 2x – 2
Elden [556K]

Answer:

t=2x-2/-2x-5

Step-by-step explanation:

y=-2x-5

ty= 2x-2

add the y value in

t-2x-5=2x-2

combine like terms

t=4x+3

hope this helps :)

4 0
3 years ago
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