Answer:
The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.
Step-by-step explanation:
Answer:
x=14
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If there are 2 or more right angles in a triangle, it is impossible to connect without a fourth side, making it a square. There can only be 1 right angle in a triangle
Answer:
Gross Annual Income: $26,520
Step-by-step explanation:
Gross annual income is the amount of money made without any taxes or deductions subtracted from the total. If Brad earns $12.75 per hour and works 40 hours per week, we can first find his weekly income by multiplying the rate by the number of hours per week:
$12.75 x 40 = $510.00
Since Brad earns $510 per week and there are 52 weeks in one year, we can find his gross annual income again by multiply the weekly rate ($510) by the number of weeks in a year (52):
$510 x 52 = $26,520
Answer:
The first statement is true.
Step-by-step explanation:
The function is f(x) = - (x + 6)(x + 2)
⇒ f(x) = - x² - 8x - 12
Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.
Now, f(x) = - x² - 8x - 12
⇒ f'(x) = -2x - 8 {Differentiating with respect to x}
Now, f'(a) = -2a - 8 {Here a can be any real value}
And, the condition for increasing function at x = a is
- 2a - 8 > 0
⇒ - 2a > 8
⇒ a < - 4
Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)
