Answer:
The line passing through the given points is:

in its slope-intercept form
Step-by-step explanation:
Start by finding the slope of the segment that joins the two given points using the slope formula:

which for our case renders:

Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:

Therefore, the equation of the line becomes:

Answer:
Step-by-step explanation:
Ratio gives the fractional division of a whole into a given portion. Manu's will get 400 while Swapna will get 560.
To divide 960 in the ratio 5 : 7
- Sum the ratio = (5 + 7) = 12
- Manu's share = 5 × (960/12) = 400
- Swapna's share = 7 × (960/12) = 560
Therefore, Manu and Swapna's share is 400 and 560 respectively.
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You would spend about 46.3 hours driving
Step-by-step explanation:
To drive from New York City, to Los Angeles,
- You must drive about 2,779 miles
- You drive 60 miles per hour
We need to find about how many hours you would spend driving
∵ The distance you must drive = 2,779 miles
∵ You drive 60 miles per hour
∵ Distance = speed × time
- Substitute the distance and speed in the rule above
∴ 2,779 = 60 × time
- Divide the two sides by 60
∴ 46.32 = time
∴ The time is about 46.3 hours
You would spend about 46.3 hours driving
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Answer is -48x^11+40x^10+40x^9