Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
When a line is given in the form
The slope of the line is m. So, in this case, the slope of 
is -1.
Given a slope 
, you find the slope of a perpendicular line 
by imposing
So, if the given line has slope -1, a perpendicular line has slope given by
and thus 
So, we want a line with slope 1 and passing through (9,2). Using the fomula
we get
Answer:
An example would be the way that the shelves of a bookcase are positioned, they are parallel. Parallel lines are two or more lines that when drawn out infinitely long never intersect.
Step-by-step explanation:
