Answer:
8(cos(π) +i·sin(π))
Step-by-step explanation:
The number in parentheses has a magnitude of ...
√(1^2 +(√3)^2) = √4 = 2
Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices
The angle of the number in parentheses is ...
arctan(-√3/1) = -π/3
Then 3 times that angle will be -π, also π.
The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...
8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice
we have <D = (7x-1)° , <A =(5x+25)°
{ all angles of square is equal to 90° }
<A + <D = 180°
5x + 25 + 7x - 1 = 180°
12 x = 180 - 24
12x = 156
x = 13
<A = (5*13 +25) = 90
< D = ( 7*13-1) = 90
so ABCD is a square
Answer:
The correct option is 3. The image of X is X'(6,2).
Step-by-step explanation:
means the dialation by scale factor 2 and the center of dilation is Z.
If a figure dilated by scale factor k and the center of dilation is (a,b), then
From the given figure it is clear that the coordinates of X are (4,0) and the coordinates of Z are (2,-2), so the coordinates of image are
The image of X is X'(6,2). Therefore the correct option is 3.
Answer:
28 miles
Step-by-step explanation:
to fin the actual distance you must multiply the didtance on the map by the map scale
3.5*8=28
