Cos² 2x = (1+cos 4x )/2
cos² 6x = (1+cos 12x)/2
subtract to get 1/2 (cos 4x - cos 12x )
= 1/2 (2 sin 4x sin 8x ) as cos A - cos B = 2 [ sin (A+B)/2 sin (A-B)/2 ]
so the answer
Answer:
5 months
Step-by-step explanation:
Given


Required [Missing from the question]
At what month will the cost be equal
To do this, we equate both expressions

This gives:

Collect like terms


Solve for m


Answer:
The answer is (b) moved right 3 units and moved down 3 units
Step-by-step explanation:
∵ f(x) = 4^x ⇒ red in the graph
∵ f(x) = 4^(x-3) - 3 ⇒ blue in the graph
∵ x becomes x - 3 ⇒ means:
The graph moved right 3 units
∵ f(x) = 4^x becomes 4^(x-3) - 3 ⇒ means:
The graph moved down 3 units
∴ The answer is (b)
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2
x and y are left alone in a circle equation, while h and k are the coordinates of the center.
Thus, our equation is (x - 7)^2 + (y + 2)^2 = 61
Answer: y=2x
Step-by-step explanation:
Let's solve for y.
Step 1: Add -2x to both sides.
2x−y+−2x=0+−2x
−y=−2x
Step 2: Divide both sides by -1.
-y/-1 = -2x.-1
y=2x
Therefore, the y=mx+b form of this question would be y=2x