Fill in the missing values in the table below:
2 answers:
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Given:
The equation of a line is:
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
We know that the product of slopes of two perpendicular lines is always -1.
Slope of the required line is and it passes through the point (-5,-3). So, the equation of the line is:
Using distributive property, we get
Therefore, the equation of the line is . Hence, option A is correct.
Answer:
16.3 years
Step-by-step explanation:
1 ha = 10,000 m^2
The total capacity of the landfill is:
If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:
The expected life of the landfill is given by its capacity divided by the yearly volume:
The landfill has an expected life of 16.3 years.
Answer: f(x)= has all real value as its domain.
Explanation: since, we have three functions f(x)=,
while g(x) and p(x) are line segments.
Now, g(x) is a function by a line segment which passes through two points (-1.8,-3) and ( 1,3.8).
Thus it is clear that its domain will be the ends points. so domain of the function g(x) will be [-1.8, 3.8] which is the subset of real numbers set (R).
Similarly, domain of function p(x) will be [1.7, 1], which is also the subset of R.
But, when we talk about f(x) it contains all the possible value of x. Thus we can say that has R as its domain.
