Answer:
A" (3,3)
B" (3,5)
C" (5,7)
D" (5,1)
Yes they are congruent as they are similar and have the same shape and size.
Step-by-step explanation:
-y,x is the formula for a 90° counter clockwise rotation, And since the shape nor size doesnt change it is congruent.
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


Answer:
2.69≤x≤17.31
Step-by-step explanation:
Lety the amount in the other Piggy bank be x.
The difference in the amount of money between the two banks is no more than $10 is expressed as;
|x-7.31| ≤ 10
The value in the modulus sign can be positive or negative
If positive;
x-7.31 ≤ 10
x ≤ 10+7.31
x≤17.31
If negative
-(x-7.31) ≤ 10
-x+7.31 ≤ 10
-x ≤ 10-7.31
-x ≤ 2.69
Multiply both sides by -1
x ≥ -2.69
The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31
The answer would be 3,000,724.
Radius = 15/2 = 7.5
Volume of cone: pi(r)^2*h/2
= pi(7.5)^2*23/2
pi(56.25) * 23/2
(3.14)(56.25)(23)/2 = 2,031 inches