Answer: y=-4x-13
Step-by-step explanation:
To find the parallel line, we know that the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is to find the y-intercept by plugging in the given point.
-5=-4(-2)+b [multiply]
-5=8+b [subtract both sides by 8]
b=-13
Now, we know that the equation is y=-4x-13.
(72% + 89%) divided by 2 (the number of total grades)
Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
Answer:
see this and it by your own
Step-by-step explanation:
How do you find average speed with distance and time?
Divide the distance by the time.
This will give you the average speed per unit of time, usually hour. So, if Ben traveled 150 miles in 3 hours, his average speed is 50 miles per hour
How do you find average speed with hours and minutes?
How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometer's for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.