Because of the area ratio of 3d shapes. You have to multiply by cube rt (ratio) so the radius is 3*cubert2
Plotting the points on the coordinate plane, we know that C'A forms a 90 degree angle with CA. The slope of CA is -3/2 so the slope of C'A is 2/3. The distance CA is sqrt13 so C'A is also sqrt13. Therefore C' is (-2,-2).
Total possibilities: 48
Successful outcomes: 12
Yes inverse proportion means the product is the same while direct proportion means the quotient is the same.
Note that the left-hand side is divisible by 3. Therefore, since 3 divides 6, the left-hand side will be equivalent to a multiple of 3. Therefore, if x were to be 1, 2, 4, or 5, then the given congruence would have no solutions. 4 values.
The prime numbers are 2, 3, and 5.
Sets with one number: 3choose1=3
Sets with two numbers: 3choose2=3
Sets with three numbers: 3choose3=1