By the remainder theorem, the remainder upon dividing a polynomial
by a linear binomial
is equal to
. Via synthetic division, we get
1 | 4 -5 6
. | 4 -1
- - - - - - - - - - -
. | 4 -1 5
which translates to
or
Indeed, when
, the first term on the right hand side vanished and we're left with 5.
Answer:
They are perpendicular.
Step-by-step explanation:
When we convert the equation 6x-2y=-5 into y=mx+b form, it changes into y=3x-5/2. Since we know that perpendicular slopes are opposite reciprocal, the opposite reciprocal of -x/3 is 3. So, we know that these 2 slopes are perpendicular.
Answer:
32.625 m
Step-by-step explanation:
You have the proportion ...
18 cm : ___ m = 22.4 cm : 40.6 m
This can be rearranged to ...
___ m/(18 cm) = (40.6 m)/(22.4 cm)
Multiplying by 18 cm gives ...
___ m = (40.6 m)·(18/22.4)
___ m = 32.625 m
