Z=kx, 30=8k, so k=30/8=15/4 and z=15x/4, so when x=4, z=15.
Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
The next number would be 160
Answer:
c
Step-by-step explanation:
Answer: k = 63
Step-by-step explanation: You need to multiply the left side by its reciprocal to move the numbers to the right. You also need to multiply by k on the right side to get it alone on the left. This will result in
(9/3)(3/9) = (21/k)(9/3) simplified
1 = 189/3k • k then multiply by k
k = 189/3 simplify
k = 63
