Answer:
see explanation
Step-by-step explanation:
Compare the coordinates of corresponding vertices.
C(7, - 2 ) → C'(- 3, 7 )
x- direction 7 → - 3 , that is - 10 of a shift
y- direction - 2 → 7, that is + 9 of a shift
Thus the translation rule is
(x, y ) → (x - 10, y + 9 )
Answer:
180degreesStep-by-step explanation:
Given the complex value
z² = -81i
z = (-81i)^1/2
Get the argument of -81i
theta = arctan(y/x)
theta = arctan(-81/0)
theta = -90degrees
theta = -π/2
Since tan is negative in the secind quadrant
theta = π - π/2
theta = π/2
According to demoivres theorem
theta = 1/2 * π/2
theta = π
theta = 180degrees
Answer: ![4x^{2}](https://tex.z-dn.net/?f=4x%5E%7B2%7D)
Step-by-step explanation:
to show the work go to this webiste and type in the problem https://www.mathpapa.com/algebra-calculator.html
3 metres from one end to the third mark
Solution:
Total length of wood = 10 metre
Wood is marked into 10 equal length.
![$\text{Length of each marking}=\frac{\text{Total length}}{\text{Number of marking}}](https://tex.z-dn.net/?f=%24%5Ctext%7BLength%20of%20each%20marking%7D%3D%5Cfrac%7B%5Ctext%7BTotal%20length%7D%7D%7B%5Ctext%7BNumber%20of%20marking%7D%7D)
![$=\frac{10}{10}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B10%7D%7B10%7D)
= 1 metre
Length of each marking = 1 metre
Number of metres from one end to third mark = 1 + 1 + 1 = 3 metre
The image of the marking is attached below.
Hence 3 metres from one end to the third mark.
Interfere are numbers that can be neagative
Or positive. Rational numbers are numbers that can be put into fractions. Irrational numbers cannot be put into a fraction