The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equation of the line:
y = -x -3 and
5y + 5x = -15
From the equation 5y + 5x = -15:
Divide by 5 on the above equation:
y + x = -3
or
y = -x -3
The two equations y = -x -3 represents the same line.
Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
Learn more about the linear equation here:
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Answer:Alkanes: CnH2n+2
n=8 --> C8H18. So it is 18 atoms
Step-by-step explanation:
Answer:
i believe its B= (1,5)
Step-by-step explanation:
Part A.
The trip starts at 8am which corresponds to 0 hrs, point (0hr, 0mi)
2hrs later it's 10am. .point (2hr, 140mi)
The average speed is the slope between 0 and 2 hrs. Remember the slope formula m = Δy/Δx
m = (140 - 0) / (2 - 0)
m = 70 mph
Part B. Average speed from 11am - 2pm
11am is point (3hr, 140mi)
2pm is point (6hr, 300mi)
As you can see from the graph, the speed or slope changes at 1pm (5,260). You Can just use the start and end points.
m = (300-140) / (6-3)
m = 160/3
53.3 mph
* It comes out the same solution as if you average the two different slopes. 2hrs at 60mph + 1 hr at 40mph = (120 + 40)/3 = 160/3
Part C. Total average speed = total distance / total time driving
He went 70 mph for 2 hrs
stopped for an hour (slope is zero, no speed)
60 mph for 2hrs
40mph for 1 hr
300mi /5hr = 60mph
Part D. No Question....
The principal decreases by
22275 -18900 = 3375
in those 9 months, so the average monthly principal payment is
3375/9 = 375
Her average payment rate on the principal during this time is $375 per month.
