Answer:
18,075
Step-by-step explanation:
6555+4225+7295=18,075
Answer:
The value of function (fog)(x) is 4 x² - 19
Step-by-step explanation:
Given function as :
f(x) = 4 x + 1
g(x) = x² - 5
So , function (fg(x)) can be written as
(fog)(x) = 4 ( x² - 5 ) + 1
Or, (fog)(x) = 4 x² - 20 + 1
Or, (fog)(x) = 4 x² - 19
Hence The value of function (fog)(x) is 4 x² - 19 Answer
Both angles OML and OPL are right angles (90 degrees) because they are located at the point of intersection of a tangent line to a circle.
Answer: -4/5
Step-by-step explanation:
Ok so cos(x) = -4/5 and we know that:
.
If we plug that in and solve for sin(x) we get:

Now we have to consider: <em>is sin(x) positive or negative?</em>
We have that
.
From the unit circle, we know that sin(x) is negative in this range. Therefore sin(x) actually equals -3/5.
But the question asks: <em>what is
?</em>
Here's where another important equation comes in:

In this case, we have alpha = x and beta = pi/2.
So, that looks like:
sin(x + pi/2 )= sin(x)cos(pi/2) + cos(x)sin(pi/2)
We already have what sin(x) and cos(x) are. We also know that sin( pi/2) = 1 and cos(pi/2) = 0.
sin(x + pi/2 ) = (-3/5)(0) + (-4/5)(1).
Therefore we simply have
sin(x + pi/2) = -4/5