25x3=75
4x12=48
48-10=38
75 crayons and 38 markers
Hey,
If you were to divide 137/7 it would be it would be 19 or if you wont a decimal it would be 19.5
I Hoped that Helped
D. Both the intake valve and the exhust valve are closed.
Answer:
([-3], [0]), ([3], [0])
Step-by-step explanation:
The given equation of the hyperbola is presented as follows;
![\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7B9%7D%20-%20%5Cdfrac%7By%5E2%7D%7B49%7D%20%3D%201)
The vertices of an hyperbola (of the form)
are (± a, 0)
The given hyperbola can we presented in a similar form as follows;
![\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7B9%7D%20-%20%5Cdfrac%7By%5E2%7D%7B49%7D%20%3D%20%5Cdfrac%7Bx%5E2%7D%7B3%5E2%7D%20-%20%5Cdfrac%7By%5E2%7D%7B7%5E2%7D%20%3D%201)
Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;
The vertices of the parabola are ([-3], [0]), ([3], [0]).
Answer:
![|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)
Step-by-step explanation:
You can use these Cramer's formulas to solve for x and y:
![x=\dfrac{|A_x|}{|A|},\\ \\y=\dfrac{|A_y|}{|A|},](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B%7CA_x%7C%7D%7B%7CA%7C%7D%2C%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B%7CA_y%7C%7D%7B%7CA%7C%7D%2C)
where
![|A|=\left|\begin{array}{cc}12&-13\\ \\17&-22\end{array}\right|\\ \\ \\|A_x|=\left|\begin{array}{cc}7&-13\\ \\-51&-22\end{array}\right|\\ \\ \\|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%26-13%5C%5C%20%5C%5C17%26-22%5Cend%7Barray%7D%5Cright%7C%5C%5C%20%5C%5C%20%5C%5C%7CA_x%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D7%26-13%5C%5C%20%5C%5C-51%26-22%5Cend%7Barray%7D%5Cright%7C%5C%5C%20%5C%5C%20%5C%5C%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)
So,
![|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)