The equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0 which can be found out from slope intercept formula.
It is given to us that -
The point is P(-8,0)
The line is represented as y=-3
The point P is perpendicular to the given line.
We have to find out the equation of the line passing through P which is perpendicular to the given line.
We know that the equation of a line is given by -
y = mx + c
where, (x, y) = coordinates of the point
m = slope of the line
c = a constant
Comparing this with the equation of the given line, we have
m=0 and c =-3
This implies that the slope of the perpendicular is also equal to 0.
The slope intercept formula for the perpendicular line can be represented as -
y = mx + c
Using the coordinates of P(-8,0), we have
0 = 0*(-8) +c
=> c = 0.
Thus, the equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0.
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Answer:
The expected loss is
$6980
Step-by-step explanation:
From the question we are told that
The chance that a customer survives another year is p =0.96
The rate at which the policy is sold is r = $85 per month
The rate at which the policy is sold per year is R = $85 * 12 per year
= $1020 per year
The amount paid the the beneficiaries is
$200,000
The expected value of profit/loss for this company is mathematically represented as
![E = R -[ (1-p)*A]](https://tex.z-dn.net/?f=E%20%20%3D%20%20R%20-%5B%20%281-p%29%2AA%5D)
substituting values
![E = 1020 -[ (1-0.96)*200000]](https://tex.z-dn.net/?f=E%20%20%3D%20%201020%20-%5B%20%281-0.96%29%2A200000%5D)

- $6980
The negative sign shows that it is a loss
the answer is 3. after taking 2 socks, you will either have 2 that match or 2 that differ. to ensure a matching pair, you need to add 1 more sock.
- cherry :)
Reflections across the x-axis leaves the x coordinates the same but the y coordinates change sign
so point P (2,-12) is reflected to (2, 12)
So now you can identify the correct choice