Answer:
1: (3 ,- 4)
2:up (a > o)
3: -4
4: 2 units to the right
5: 4 units down
6: y = (x-2)^2-4
7:
8:
9: (5,9)
10: x=5
11: (4,7) and (6,7)
12:
Step-by-step explanation:
I'm not sure if you wanted it explained or answered , so i just answered most of them. Sorry if you wanted it explained.
Answer:
1 5/9
Step-by-step explanation:
Answer:
y=-1
Step-by-step explanation:
it is a straight line graph with no gradient therefore no X value. It crosses the y axis at -1
cos4x = cos2x
We know that:
cos2x = 1-2cos^2 x
==> cos4x = 1-2cos^2 (2x)
Now substitute:
==> 1-2cos^2 (2x) = cos2x
==> 2cos^2 (2x) + cos2x - 1 = 0
Now factor:
==> (2cos2x -1)(cos2x + 1) = 0
==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3
==> x1= pi/6 , 7pi/6
==> x1= pi/6 + 2npi
==> x2= 7pi/6 + 2npi
==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.
<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>
So there is a real and imaginary axis
the midopint is just the average of them
average between the reals is (5-3)/2=2/2=1
average between imaginaries is (18i+2i)/2=20i/2=10i
center is 1+10i
