Answer:
Tectonic shift is the movement of the plates that make up Earth's crust. ... The heat from radioactive processes within the planet's interior causes the plates to move, sometimes toward and sometimes away from each other. This movement is called plate motion, or tectonic shift.
Step-by-step explanation:
Answer:
d because its an even number so you will put the arrow towards the number
Answer:
Correct option: A
Step-by-step explanation:
To find the equation of the curve related to x and y, we can isolate t in the first equation and then use the value of t in the second equation:
x = 3 + t -> t = x - 3
y = t^2 - 4 -> y = (x-3)^2 - 4 = x^2 - 6x + 9 - 4 = x^2 - 6x + 5
Looking at the curve, we know it is a parabola. To find its vertex, we can use the formula:
x_vertex = -b / 2a
x_vertex = 6 / 2 = 3
To find y_vertex, we use x = x_vertex in the equation:
y_vertex = 3^2 - 6*3 + 5 = -4
So the vertex is (3, -4)
Looking at the first equation, we can see that an increase in t causes an increase in x, so we know that the parabola is traced from left to right for increasing values of t.
Correct option: A
Answer:
18 men
Step-by-step explanation:
The 3 part of the ratio relates to the number of female performers.
Dividing the number of female performers by 3 gives the value of one part of the ratio.
= 9 ← 1 part of the ratio, hence
2 parts = 2 × 9 = 18 ← number of men
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
![D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]](https://tex.z-dn.net/?f=D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ccos%5Ctheta%20%26%5Csin%5Ctheta%5C%5C%20-%5Csin%5Ctheta%26%20%5Ccos%5Ctheta%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The determinant of the matrix is:
Using trigonometry ratio, we have:
(b)
![\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%260%5C%5C0%262%5Cend%7Barray%7D%5Cright%5D)
The determinant of the matrix is:
(c)
![\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26i%5C%5C-i%260%5Cend%7Barray%7D%5Cright%5D)
The determinant of the matrix is:
In complex numbers
So:
<em>So, the order of the determinants is: c, a, b</em>
