Answer:
Sam worked
hours that day (fractional answer)
Step-by-step explanation:
The total number of hours Sam worked is the sum of all the three hours given.
Let's add the first 2 using LCM and then add that result with the last.
Firstly:

Now,

The hours worked by Sam is 41/30 hours (fractional answer).
Could you attach an illustration? I apologise.
Answer:
The slope = Rise over run
Step-by-step explanation:
I would answer your question farther, but you didn't post a picture of the line.
determine two points and count from the left one to the right one. Rise is y so count how many up or down. Run is x so count how many left or right.
1) The equation of the parallel line in Slope Intercept Form is; y = -x - 1
2) The equation of the perpendicular line in Slope Intercept Form is;
y = ³/₂x - 4
<h3>How to write equation in Slope Intercept Form?</h3>
1) When two lines are parallel, it means their slopes are the same.
Formula for equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, slope of y = -x + 1 is m = -1.
Equation of parallel line is;
(y - (-5))/(x - 4) = -1
y + 5 = -x + 4
y = -x - 1
2) When two lines are perpendicular, it means their slopes are the negative inverse of each other. Thus;
Slope of line = -2/3 and so slope of perpendicular line = 3/2. Thus, equation of new line is;
(y + 1)/(x - 2) = 3/2
2y + 2 = 3x - 6
2y = 3x - 8
y = ³/₂x - 4
Read more about slope intercept form at; brainly.com/question/1884491
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