Answer:
Step-by-step explanation:
Given
![(x + 7) * (\ ) = [\ ]](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%2A%20%28%5C%20%29%20%3D%20%5B%5C%20%5D)
Required
Complete the blanks
We have:
Rewrite as:
Cross multiply
Answer:
12
Step-by-step explanation:
Here we use SOHCAHTOA
Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH
Sin(x)= Opposite/Hypotenuse
Sin(45) = x/
×12 root 2
sin(45) times 12 root 2= 12
x=12
Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
40 times 10, every 10 seconds you go 40 miles...
For the answer to the question above,
<span>Let's work with the left-hand side
We're going to times cosx/1-sinx by 1+sinx/1+sinx, you can do this because 1+sinx/1+sinx is equal to 1, so you aren't really changing anything.
After you've times the top and bottom by 1+sinx, you get:
cosx(1+sinx) / (1-sinx)(1+sinx)
The denominator is a difference of squares, so you get 1-sin^2 x
what you have now is
cosx(1+sinx) / 1-sin^2x
You know that 1-sin^2x is equal to cos^2x
so know you have
cosx(1+sinx) / cos^2x
get rid of the cosx on top by simplifying and the cos^2x so that you're left with
(1+sinx) / cos x
Therefore cosx / 1- sinx = 1 + sinx / cos x</span>
