Answer:
<em> x = -3</em>
Step-by-step explanation:
A line has equation: y = ax + b
This line has slope a = 1
This line passes (4, 1)
=> 1 = 4 + b
=> b = -3
=> The equation of this line : y = x - 3
This line passes another point (x, -6)
=> -6 = x - 3
=> x = -6 + 3
=> x = -3
Perpendicular line always have slopes that are negative reciprocals of one another. Mathematically,
m1*m2=-1
So to be perpendicular to the line given, let's rearrange it to the point slope form of a line...
3y=6x ?3 (not sure what you wanted to type there)
anyway isolating y by dividing both side by three will leave 2x where 2 is the slope.
So for the other line to be perpendicular, m*2=-1, m=-1/2, now we have:
y=-x/2 +b, we can now you the point given to solve for b
4=-2/2 +b
4=-1+b
b=5 so
y=-x/2 +5 or more neatly
y=(10-x)/2
Answer: The point of intersection is (0,4).
Step-by-step explanation:
Is there a answer choice of -5
Answer:

Step-by-step explanation:
From the question we are told that:
Percentage of audience in first concert 
Percentage of audience in second concert 
Percentage of audience in third concert 
Audience Percentage at at-least one concert 
Percentage of audience at first & second concert 
Percentage of audience in first & third concert 
Percentage of audience in second & third concert 
Generally the equation for probability of attending all concerts
is mathematically given by




Therefore the probability that a randomly selected audient attended all the concerts
