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Stan worked 2h days this week
Step-by-step explanation:
The given is:
- Stan drives 30 minutes a day commuting to and from work
- He drove h hours this week
We need to find how many days he worked
∵ Stan drives 30 minutes a day
∵ 1 hour = 60 minute
∴ 30 minutes = hour
∴ Stan drives hour a day
∵ He drove h hours this week
- To find the number of days that he worked divide the total
hours he drove in this week by the hour he drives in a day
∴ The number of days = h ÷
- Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∵ The reciprocal of =
= 2
∴ The number of days = h × 2
∴ The number of days = 2h
Stan worked 2h days this week
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Given:
The coordinates of point A are (7,4).
It is dilated from the origin by a scale factor r = 3.
To find:
The coordinates of A'.
Solution:
If a figure is dilated from the origin by a scale factor k, then
Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:
Using this rule, we get
Therefore, the coordinates of point A' are (21,12).
We want to find the axis of symmetry of the function;
STEP 1:
The equation for the axis of symmetry of a line is given as;
From the equation, a = 6 and b = -3, so,
STEP 2: Insert the values of a and b into the equation to obtain;
CONCLUSION:
Therefore, we see that the axis of symmetry is the line;