Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
First, let's establish that, they are co-interior angles on parallel lines. We can identify this as they form a 'C' shape on parallel lines.
Co-interior angles add up to 180°.
Therefore:
( x + 27 )° + ( 3x - 25 )° = 180°
x + 3x = 180 - 27 + 25
4x = 178
x = 178 / 4
x = 89 / 2
x = 44.5°
Hope this helps! <3
Answer:
-3x-3y-z=38
Step-by-step explanation:
To find the equation of the tangent plane you can use

the point P is (-6,-6,-2). Hence you have

hope this helps!!
Answer: c
Step-by-step explanation:
Answer:
Some possible values are -5, -3, -2.
Step-by-step explanation:
Basically if d(discriminant)
d > 0 = 2 x intercepts,
d = 0 means one x intercept
d < 0 = 0 x intercepts
:) Hoped this helped :)
Answer: The required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Step-by-step explanation: We are given to find the transition matrix from the bases B to B' as given below :
B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.
Let us consider two real numbers a, b such that

Again, let us consider reals c and d such that

Therefore, the transition matrix is given by
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Thus, the required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)