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Sever21 [200]
3 years ago
8

A line has unit slope and passes through point origin (0,0) . What is the equation of the line?

Mathematics
1 answer:
motikmotik3 years ago
7 0
Y=x
You exclude the y-intercept because it has a value of zero. Therefore you would right an equation that passes through point (0,0) as y=x or y=x+0.
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2d+3 dollars

Step-by-step explanation:

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The ratio 2:7. Add 7 and 2 together to get 9. Then divide 243 by 9 which is 27. 27x2 is 54 so. There was 54 students out of state. And 189 that were in state
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Would you rather have a kilogram of quarters or a kilogram of dimes? Why?
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Step-by-step explanation:

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3 years ago
What is the slope of the line that contains the points in the table?
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D

Step-by-step explanation:

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Two cars enter the Delaware turnpike at shoreline drive at 8 am, each heading for ocean city. One cars average speed is 10 mph f
lana [24]

Average speed of slower car = 60 mph

Average speed of faster car = 70 mph

<em><u>Solution:</u></em>

Given that Two cars enter the Delaware turnpike at shoreline drive at 8 am, each heading for ocean city

Given that One cars average speed is 10 mph faster than the other

Let "x" be the average speed of slower car

Then x + 10 is the average speed of faster car

The faster car arrives at ocean city at 11 am, a half hour before the slower car

<em><u>Time taken by faster car:</u></em>

The faster car arrives at ocean city at 11 am but given that they start at 8 a.m

So time taken by faster car = 11 am - 8am = 3 hours

<em><u>Time taken by slower car:</u></em>

The faster car arrives at ocean city at 11 am, a half hour before the slower car

So slower car takes half an hour more than faster car

Time taken by slower car = 3 hour + half an hour = 3\frac{1}{2} \text{ hour}

Now the distance between Delaware turnpike at shoreline drive and ocean city will be same for both cars

Let us equate the distance and find value of "x"

<em><u>The distance is given by formula:</u></em>

distance = speed \times time

<em><u>Distance covered by faster car:</u></em>

distance = (x + 10) \times 3 = 3x + 30

<em><u>Distance covered by slower car:</u></em>

distance = x \times 3\frac{1}{2} = x \times \frac{7}{2} = 3.5x

Equating both the distance,

3x + 30 = 3.5x

3x - 3.5x = -30

-0.5x = -30

x = 60

Thus average speed of slower car = 60 mph

Average speed of faster car = x + 10 = 60 + 10 = 70 mph

8 0
3 years ago
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