What is the point-slope form of a line with a slope -3 that contains the point (10,-1)

Mathematics

1 answer:

Citrus2011 [14]2 years ago

4 0

Here's the formula:

y - y1 = m(x - x1)

Substitute numbers accordingly:

y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)

x1: and 10 goes to the x1 spot

m: -3 belongs in m

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Read 2 more answers

The following week the company was hired for a 225 mile move. If each truck traveled at hte same speed it has the previous week

iogann1982 [59]

I added a screenshot of the original question.

Now, first we will need to calculate the speed of each truck and then get the time that each of them will take to travel the 225 miles.
The basic rule that we will use for this question is:
velocity = distance / time

Part (a): getting the velocity of each truck:
For the large truck:
We are given that the truck took 4 hours to travel 180 miles. Therefore:
velocity of large truck = 180 / 4 = 45 miles/hour

For the small truck:
We are given that the truck took 3 hours to travel the same 180 miles. Therefore:
velocity of small truck = 180 / 3 = 60 miles/hour

Part (b): getting the time required for each truck to travel 225 miles:
For the large truck:
We have the distance = 225 miles and the velocity = 45 miles/hour. Therefore:
velocity = distance / time
time = distance / velocity = 225 / 45 = 5 hours

For the small truck:
We have the distance = 225 miles and the velocity = 60 miles/hour. Therefore:
velocity = distance / time
time = distance / velocity = 225 / 60 = 3.75 hours