Geometry question slope intercept form
2 answers:
Okay so a perpendicular line has a slope of the opposite reciprocal so for example in this equation the slope is 2 so the slope of a perpendicular equation would be -1/2 now since you know that you can put that in the slope intercept equation
Now you have y=-1/2x+b and since you have a point (point A) you can plug it in and solve for b
-8=-1/2(4)+b
-8=-2+b
b=-6
Now you have both parts simply put it in and you have the equation
y=-1/2x-6
I also attached the image with both to prove they are perpendicular
Now you have y=-1/2x+b and since you have a point (point A) you can plug it in and solve for b
-8=-1/2(4)+b
-8=-2+b
b=-6
Now you have both parts simply put it in and you have the equation
y=-1/2x-6
I also attached the image with both to prove they are perpendicular
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Answer:
The value is
Step-by-step explanation:
From the question we are told that
The amount charge per year is
The number of members it will have at this amount is
The amount amount increase that will lead to the loss of a single member is
Generally the total amount the club would obtain from its members is mathematically represented as
Now let x denote the number of member lost
Hence
=>
=>
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero
=>
So from we have
So the amount the club should charge is