Points (0,0) and (3,3) lie on line k. What is the slope of the line perpendicular to k?
1 answer:
You might be interested in
I'm going to use n instead of t
rⁿ=6.25rⁿ+2
minus rⁿ both sides
0=5.25rⁿ+2
minus 2 both sides
-2=5.25rⁿ
divide both sides by 5.25
-2/5.25=rⁿ
take the nth root of both sides
![\sqrt[n]{\frac{-2}{5.25}}= \sqrt[n]{r^n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7B-2%7D%7B5.25%7D%7D%3D%20%5Csqrt%5Bn%5D%7Br%5En%7D)
![\sqrt[n]{\frac{-2}{5.25}}= r](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7B-2%7D%7B5.25%7D%7D%3D%20r)
rⁿ=6.25rⁿ+2
minus rⁿ both sides
0=5.25rⁿ+2
minus 2 both sides
-2=5.25rⁿ
divide both sides by 5.25
-2/5.25=rⁿ
take the nth root of both sides
You can find the remainder right away by simply plugging in 
. The polynomial remainder theorem guarantees that the value of 
is the remainder upon dividing 
by 
, but I digress...
Synthetic division yields
3 | 2 -11 18 -15
. | 6 -15 9
- - - - - - - - - - - - - - - - -
. | 2 -5 3 -6
which translates to
(and note that
, as expected)
Synthetic division yields
3 | 2 -11 18 -15
. | 6 -15 9
- - - - - - - - - - - - - - - - -
. | 2 -5 3 -6
which translates to
(and note that