Under a counterclockwise rotation about the origin of 90°
a point (x , y ) → (- y, x ), hence
A(2, 1 ) → A'(- 1, 2 )
Answer:
A
Step-by-step explanation:
We want to solve the equation:

To do so, we can rewrite the equation.
Recall the double-angle for sine:

By substitution:

Distribute:

We can subtract 3cos(x) from both sides:

And factor:

Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
Step-by-step explanation:
We can calculate probability by looking at the outcomes of an experiment or by reasoning about the possible outcomes.
You might have made an error the first time you solved for x. I got x = -0.5.
When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:
2x + 3 = 4^(1/2) ... Simplify
2x + 3 = 2
2x = -1
x = -1/2
If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?
2,300 meters is the answer to your question.