Step-by-step explanation:
Given expression;
2x + y = -5;
The given equation must be written in a form where the slope is the negative inverse of the given one.
A line perpendicular to another will have a negative inverse slope.
2x + y = -5
Equation of a straight line is generally written as;
y = mx + c
y and x are the coordinates
m is the slope
c is y - intercept
2x + y = -5
y = -2x -5
The slope of the perpendicular = 
So,
the new line;
y = x -5
Any line with slope of will be perpendicular
Factors of 6 are : 1,2,3 and 6.
Let us find probability of getting the number that is a factor of 6.
Now let us find probability of getting a number more than 2 (3,4,5,6).
We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula 
.
Now we will find probability of getting the number is a factor of 6 or more than 2 using above formula.
Therefore, our probability will be 1 and this scenario represents mutually inclusive events.
Answer:
6.39
Step-by-step explanation:
divide the total cost by the total amount of the item for the unit price:
38.34/6=6.39
The total area under the curve must equal 1. Let the value of the density curve be x. Then 10x = 1. Therefore x = 1/10 or 0.1.
The correct answer is D. 0.1.
Let's say that the unknown value here is c. Although we are given two points on the line, it is only necessary to use one as there is only one unknown value, so let's say we choose the point (6, -12) and substitute this into the equation:
-12 = 1(6) - c
-12 - 6 = -c
-18 = -c
c = 18
Thus the equation for the line is y = 1x - 18
