10 would be the answer I believe.
Answer:
C. m∠N = 69°
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180.
m∠L + m∠M + m∠N = 180
36 + 75 + m∠N = 180
111 + m∠N = 180
m∠N = 69°
-16 + (-22) - 14
First, simplify your brackets. / Your problem should look like:
Second, subtract -16 - 22 - 14 to get -52. / Your problem should look like:

Answer:
-52
First, we expand the equation:

Then, we combine certain terms in order to simplify them using trigonometry identities.

Note these identities:
Pythagoran relation:

Sum and Difference Formula/Identities:

Thus, if we apply these identities, the simplified equation would be:

Simplying further, the answer would be
Answer:
Step-by-step explanation:
If we have a linear function and we multiply the input of the function, we aren't really <em>changing</em> the values of the function, we're changing the rate at which those values are reached.
E.g. if you look at the attached picture, we have
and
, which is just
. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.
The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.
If you're interested in the calculus behind this, look up the chain rule of derivatives.
However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.