F(x)= -4x+9
Multiply f*x
xF=9+4x
Solve for X: -4x+xF=9+4x-4x=0
Combine like terms: -4x+4x=0
-4x+xF=9+0= 9
-9+-4x +xF = 0.
I would say that of course toy start with 100 but the the first 5 numbers would be 992,984,976,968,960.
Answer:
i have no idea.
Step-by-step explanation:
thug life.
Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:
- AB = 6
- BC = 8
- <ABC = 90°
- BD ⊥ AC
- <ABD =
We have to find the value for sin
So, Let's start solving....
In ∆ADB and ∆ABC,
- <A = <A (common)
- <ABC = <ADB (90°)
So, ∆ADB ~ ∆ABC (By AA similarity)
The corresponding sides will be:
![\sf{ \dfrac{AD}{AB} = \dfrac{AB}{AC} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cdfrac%7BAD%7D%7BAB%7D%20%20%3D%20%20%5Cdfrac%7BAB%7D%7BAC%7D%20%7D)
We know the value of AB and to find AC, we can use Pythagoras theoram that is:
AC = √6² + 8²
AC = 10
Coming back to the relation,
![\sf{ \dfrac{AD}{6} = \dfrac{6}{10} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cdfrac%7BAD%7D%7B6%7D%20%20%3D%20%20%5Cdfrac%7B6%7D%7B10%7D%20%7D)
![\sf{AD = \dfrac{6 \times 6}{10} = 3.6}](https://tex.z-dn.net/?f=%20%5Csf%7BAD%20%3D%20%20%5Cdfrac%7B6%20%5Ctimes%206%7D%7B10%7D%20%20%3D%203.6%7D)
In ∆ADB, we have to find sin
which is given by perpendicular/base:
![\sf{\sin( \theta) = \dfrac{AD}{AB} }](https://tex.z-dn.net/?f=%20%20%5Csf%7B%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cdfrac%7BAD%7D%7BAB%7D%20%7D)
Plugging the values of AD and AB,
![\sf{\sin( \theta) = \dfrac{3.6}{6} }](https://tex.z-dn.net/?f=%20%20%5Csf%7B%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cdfrac%7B3.6%7D%7B6%7D%20%7D)
Simplifying,
![\sf{ \sin( \theta) = \dfrac{3}{5} = \boxed{ \red{0.6}}}](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cdfrac%7B3%7D%7B5%7D%20%20%3D%20%20%5Cboxed%7B%20%5Cred%7B0.6%7D%7D%7D)
And this is our final answer.....
Carry On Learning !