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:
The graph in the attached figure
Step-by-step explanation:
we have
Remember that in a quotient, the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
Simplify the expression
Using a graphing tool
The roots of the quadratic equation in the numerator are
x=-2 and x=1
so
Simplify the denominator
substitute in the original expression
Simplify
Is the equation of a line
The y-intercept is the point (0,-3) (value of the function when x is equal to zero)
The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)
Graph the line, but remember that the value of x cannot be equal to -2
The graph in the attached figure
Answer:
If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)
Step-by-step explanation:
1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.
Answer:
180-63= 117
Step-by-step explanation:
the lines are parallel so the opposite of x is 63. it is a straight line so it adds up to 180
