Answer:
x = 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 = m / 2 - 7
2 + 7 = m / 2
9 = m / 2
cross multiply
m = 9 * 2
Therefore m = 18
Hope u understood and it helped.
Answer:
ijhofhoiffho[hoi[hjkkhj
Step-by-step explanation:
e3gyqi3rqrqugrqugfugfufgfiohwefuohfewihuiu
Answer:
150 is if you buy them separately but 150-25%=112 so 150-112=38 so students would save $38
Step-by-step explanation:
he made that package so that more people would go to his lessons know that there was a discount going on and more people would choose his lessons over people who don't have discounts.
Answer:
![x^2+y^2-5y+x=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2-5y%2Bx%3D0)
Step-by-step explanation:
Let
be the equation of the circle. We know that
must be iqual
, due to the canonical equation of the circle is
, but we can think
as an unknown for the moment.
In order to determine the equation of the circle we have to find the coefficients
. In addition, we have that
are point on this circle. Furthermore, If
is any point in circle, then the following equations are satisfied:
![\begin{cases}a(x^2+y^2)+bx+cy+d=0\\a(2^{2}+3^{2})+b(2)+c(3)+d=0\\a((-3)^{2}+2^{2})+b(-3)+c(2)+d=0\\a(0^{2}+0^{0})+b(0)+c(0)+d=0\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Da%28x%5E2%2By%5E2%29%2Bbx%2Bcy%2Bd%3D0%5C%5Ca%282%5E%7B2%7D%2B3%5E%7B2%7D%29%2Bb%282%29%2Bc%283%29%2Bd%3D0%5C%5Ca%28%28-3%29%5E%7B2%7D%2B2%5E%7B2%7D%29%2Bb%28-3%29%2Bc%282%29%2Bd%3D0%5C%5Ca%280%5E%7B2%7D%2B0%5E%7B0%7D%29%2Bb%280%29%2Bc%280%29%2Bd%3D0%5Cend%7Bcases%7D)
Here the unknowns are
. According with a result of linear algebra, the system has a nontrivial solution if and only if the determinant of the matrix of coefficients is zero, then we have that
![\left \lvert \begin{array}{cccc}x^{2}+y^{2}&x &y&1\\(2^{2}+3^{2})&2&3&1\\((-3)^{2}+2^{2})&-3&2&1\\(0^{2}+0^{2})&0&0&1 \end{array} \right \rvert =0](https://tex.z-dn.net/?f=%5Cleft%20%5Clvert%20%5Cbegin%7Barray%7D%7Bcccc%7Dx%5E%7B2%7D%2By%5E%7B2%7D%26x%20%26y%261%5C%5C%282%5E%7B2%7D%2B3%5E%7B2%7D%29%262%263%261%5C%5C%28%28-3%29%5E%7B2%7D%2B2%5E%7B2%7D%29%26-3%262%261%5C%5C%280%5E%7B2%7D%2B0%5E%7B2%7D%29%260%260%261%20%5Cend%7Barray%7D%20%5Cright%20%5Crvert%20%3D0)
Calculating this determinant we obtain the equation:
![13x^{2}+13y^2-65y+13x=0](https://tex.z-dn.net/?f=13x%5E%7B2%7D%2B13y%5E2-65y%2B13x%3D0)
Simplifying:
![x^2+y^2-5y+x=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2-5y%2Bx%3D0)