Answer:
42
Step-by-step explanation:
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
Answer:
Part A) 
Part B) 
Step-by-step explanation:
we know that
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary
step 1
Find the value of x
we know that
----> by definition of parallelogram (opposite angles are congruent)
substitute the given values
solve for x
step 2
Find the measure of angle R
substitute the value of x
step 3
Find the measure of angle S
we know that
---> by definition of parallelogram (consecutive angles are supplementary)
we have
substitute
Simple, since you want to find y, in y=mx+b form, move everything to the other side.
1/2x-y=4
Move 1/2x
1/2x-y=4
-1/2x -1/2x
Making it look like,
-y=4-1/2x
Divide by the negative 1 in front of the y,
-y=4-1/2x
/-1 /-1
y=-4+1/2x
or
y=1/2x-4
Thus, this written in y=mx+b form, y=1/2x-4.
