Answer:
40) w = 32/3
41) x = 23/4
42) w = 1/12
Step-by-step explanation:
40) Real world problem:
If Lisa takes of the pie from a total of slices, then the remaining pie is . Find w.
So, the equation would become:
This can be written as:
This is equivalent to
Since, the denominator is the same, the numerators can be added now.
Hence, the answer is 32/3.
41) The given equation is:
and
So,
The answer is 23/4.
42) The given equation is
The answer is 1/12.
Perpendicular lines have opposite, reciprocal slopes.
For example, if one line had a slope of 4/5, then a perpendicular line would have a slope of -5/4.
The slope-intercept equation for a (non-vertical) line is:
y = mx + b
where m is a number representing the slope of the line and b is a number representing the y-intercept of the line.
We know already that m = -3/2 for our perpendicular line.
Also, our line will have the same x-intercept as the given line. We should probably find that point.
We can do that by setting y= 2/3x-6 equal to 0 and solving for x.
0 = 2/3x - 6
6 = 2/3x
6(3/2) = x = 9
The x-intercept is therefore at (x, y) = (9, 0).
Step 2. Determine "b" for our line. So far we have the equation:
y = -3/2x + b
We know this line goes through the point (x, y) = (9, 0). This means that when we plug in 9 for x in the equation of our line, we should get a value for y of 0.
0 = -3/2(9) + b
27/2 = b
Answer:
303.8
Step-by-step explanation:
All you do for this is 21.7 * 14
Answer:
1 1/6
Step-by-step explanation:
You can convert 7/6 into a mixed number by subtracting 1 from the improper fraction, because 1= 6/6
7/6 -6/6= 1 1/6