Answer:
50 deg
Step-by-step explanation:
In an right triangle, the acute angles are complementary. That means their measures have a sum of 90 deg.
m<C + m<B = 90
7x - 20 + 4x = 90
11x = 110
x = 10
m<ACB= 7x - 20
m<ACB = 7(10) - 20
m<ACB = 70 - 20
m<ACB = 50
Answer: m<ACB = 50 deg
If x-7 =0
Then x =7
Substitute x=7 into f(x):
2(7)^2 - 11(7) + k
= (98-77)+k
= 21+k
Therefore k=-21 because 21+(-21)=0
Answer:
1.-9x^2
2.16x^4
3.x^2+4x
4.x^2+4x+4
5.x^2-x-12
6.x^4+2x^3-4x^2
Step-by-step explanation:
The giving functions are from dofferent types. transforming a function does not change it's type so it is impossible to transfer f(x)=2 to f(x)=(x-3)^2-1.
Answer:
Step-by-step explanation:
Given
![6x_1-9x_2=8](https://tex.z-dn.net/?f=6x_1-9x_2%3D8)
![9x_1+kx_2=-1](https://tex.z-dn.net/?f=9x_1%2Bkx_2%3D-1)
The given system is
can be represented by
![\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D6%20%26-9%20%5C%5C%209%20%26%20k%5Cend%7Bbmatrix%7D%5Cbegin%7Bbmatrix%7Dx_1%5C%5C%20x_2%5Cend%7Bbmatrix%7D%3D%5Cbegin%7Bbmatrix%7D8%5C%5C%20-1%5Cend%7Bbmatrix%7D)
The given system is consistent when determinant of A is not equal to zero
![|A|](https://tex.z-dn.net/?f=%7CA%7C)
![|A|=6k-(-81)=6k+81](https://tex.z-dn.net/?f=%7CA%7C%3D6k-%28-81%29%3D6k%2B81)
![k\neq \frac{-27}{2}](https://tex.z-dn.net/?f=k%5Cneq%20%5Cfrac%7B-27%7D%7B2%7D)
i.e. system is consistent for all value of k except ![k=\frac{-27}{2}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B-27%7D%7B2%7D)
![R-\frac{-27}{2}](https://tex.z-dn.net/?f=R-%5Cfrac%7B-27%7D%7B2%7D)