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sveticcg [70]
3 years ago
15

Find the equation of a line that has a slope of 1/2 and passes through the origin.

Mathematics
1 answer:
omeli [17]3 years ago
8 0

Step-by-step explanation:

The equation of a line with slope m and y-intercept b is y = m x + b.  

This line goes through the point ( 0 ,0 ), so the y-intercept is zero.

We are given the slope as − 2 / 3.

The equation of the line is y= – 2 / 3 x + 0 = – 2 / 3 x

y = – 2 / 3 x

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Help please <br><br>number 4, 5, 6, and 7​
FinnZ [79.3K]

Step-by-step explanation:

4. So, total time traveled is calculated by adding travel times in both directions.

From Detroit to Chicago, Charlie flew 300 miles at 150 miles per hour speed. That means that he traveled:

t1 = s / v1

t1 = 300 miles / 150 miles per hour

t1 = 2 hours

Now, let's do the same for the opposite direction. Since it's the same distance, he again flew 300 miles, but the speed this time was 100 miles per hour:

t2 = s / v2

t2 = 300 miles / 100 miles per hour

t2 = 3 hours

So, total time he traveled was t1 + t2 = 2 hours + 3 hours = 5 hours.

For the trip distance we need to add distances in both directions. We already said that the distance is the same, so the total trip distance is 300 miles + 300 miles = 600 miles.

Displacement shows how far are the ending and the starting point. Since Charlie started from Detroit, flew to Chicago, and then came back to Detroit, his ending point is the same as the starting, so the displacement is 0.

We can calculate average speed by dividing total distance with the total travel time. We already found that the total trip distance was 600 miles, and the total travel time was 5 hours. That means that:

v(average) = s(total) / t (total)

v(average) = 600 miles / 5 hours

v (average) = 120 miles per hour

As for the average velocity, we calculate it by dividing displacement by total travel time. Since the displacement was 0, average velocity will also be 0.

5. From the left graph we see that the object went from 0 to 2 meters (it moved 2 meters) in 1 second. That means that its speed was:

v1 = s1 / t1

v1 = 2 meters / 1 second

v1 = 2m/s

From there, it went from 2 to 4 meters (it moved 2 meters) in the next 4 seconds. That means that its speed, during that interval, was:

v2 = s2 / t2

v2 = 2 meters / 4 seconds

v2 = 0.5 m/s

So, our graph will show, for the first second, velocity of 2m/s, and for the next four seconds, the velocity of 0.5 m/s.

6. Again, when calculating speed, we use the equation:

v = s / t

In this case, the distance (s) is 325 miles and the time (t) is 5 hours. So, the speed will be:

v = 325 miles / 5 hours

v = 65 mph

7. Now, we have the same distance (s) of 325 miles ant the speed (v) of 70 mph. We want know how long will the drive take:

t = s / v

t = 325 miles / 70 mph

t = 4.64 hours.

6 0
3 years ago
Which equation represents the graph shown?<br> (Picture attached)
Maurinko [17]

Answer:

correct answer is option B

Step-by-step explanation:

as we know equation of line

       y = m x + c....................(1)

where c is the intercept

m is the slope

m = \dfrac{y_2-y_1}{x_2-x_1}

m = \dfrac{35-0}{1-0}

m = 35

putting value of m in equation (1)

we get

y = 35 x + c

from the graph we can clearly see that line is passing through (0,0) hence

0 = 35 (0)x + c

c = 0

hence the equation of line comes out to be

y = 35 x

correct answer is option B

8 0
3 years ago
Please help me find the slope of the graph thank you a, b, c, d (picture)
alisha [4.7K]

Answer:

D: -75 the balloon is descending at a rate of 75ft per minute

Step-by-step explanation:

To find the slope of any graph, take two points on the graph and subtract them y/x so to get this answer is used the points (0,450) and (2,300) and subtracted the y-values over the x-values

450-300=150

0-2=-2

150/-2 = -75

that is the slope and since it is negative and the slope itself is a diagonal line going towards the x-axis you know it’s descending.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
What is 9/12a = 1 ? Also what is 6/5b = 1 ? And Finaly what is 12c = 1 ?
ivolga24 [154]

Step-by-step explanation:

hope I understand your question

a = 9/12

b = 6/5

c = 1/12

please simplify the fractions by yourself

4 0
3 years ago
Cv0627
kari74 [83]

Answer:

dr. potter provides 54 vaccinations TOTAL (including both measles and polio).

p+m=54

since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.

4p+2m=142

p+m=54

4p+2m=142

^^system of equation

p+m=54

4p+2m=142

p=54-m

4p+2m=142

(substitute 54-m to the equation)

4(54-m)+2m=142

m=37

(collect like terms, then substitute the value of m into the first equation)

p=54-37

p=17

(m, p)=(37, 17)

Step-by-step explanation:

i hope this helps, sorry for the wait

5 0
3 years ago
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