Answer:

Step-by-step explanation:
To find the distance between two points in there dimensional coordinate system, we use the formula;

The magnitude for w(6 ,-3 , 6) and x(6, 3, 4)





The correct choice is A.
Let total number of rides be represented by x
And total amount spent on the ride and entry fees be y
Entry fees of the park = $10.50
Also, Charge for each ride is given to be $4.50
So, The linear function which describes the situation :
y = 10.50 + 4.50x
Now, Its given that Jay spent a total of $46.50 in the park
So, to find total number of rides taken substitute y = 46.50 in the above linear equation.
⇒ 46.50 = 10.50 + 4.50x
⇒ 4.50x = 36
⇒ x ≈ 8
Thus, Number of rides taken = 8
Answer:
x = π/2 + nπ or x = (2/3 π + 2nπ) or x = (4/3 π + 2nπ)
Step-by-step explanation:
1 + cosx + cos2x=0
1+cosx+(2cos²x -1) = cosx + 2cos²x = cosx (1 + 2cosx) = 0
cosx = 0
x = 90° (π/2) or (90+180) or (90+180x2) .... i.e π/2 + nπ
or 1 + 2cosx = 0
cosx = -1/2
x = 120° or 240° (2/3 π or 4/3 π) or (120 + 360 : 2/3 π + 2π) (120 + 2 * 360)
.... i.e. (2/3 π + 2nπ)
or (240 + 360 : 4/3 π + 2π) (240 + 2 * 360) .... i.e. (4/3 π + 2nπ)