Answer:
b) The distance between −12 and −1 is ∣∣−12−(−1)∣∣
Step-by-step explanation:
The point A = -1
The point B = -12
To find The distance from A to B on the number line.
Now, distance of a point B from the point A is given as I B - A I
Definition of Modulus Function
I x I = x, if x > 0
= -x if x< 0
Similarly, here the distance is given as
I B - AI = I (-12) - (-1) I = I -12 + 1 I
= I -11 I = -(-11) = 11 ( as x < 0)
or the distance of point B from point A = + 11 units.
Hence, I B - AI = ∣∣−12−(−1)∣∣
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function .
The new transformed function is
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes .
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes .
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
Answer:
8 hours and 30 minutes
Step-by-step explanation:
If you divide the hours by the number of days you will get your answer for the average amount of time spent each day. So, 153 hours divided by 18 days is 8.5. 8.5 can also be converted into 8 hours and 30 minutes and .5 is half of a number and 30 minutes is half of an hour. Therefore, your final answer is 8 hours and 30 minutes. Hope this helps! :)