Match each word with its best
description
a. vertical
b. horizontal
c. skew
d. parallel
e. perpendicular
f. bisector
1. lines that do not intersect, but are
not parallel
2. lines that do not intersect and
have the same slope
3. lines that intersect at a right angle
4. lines that have a slope of 0
5. line that divides an angle or
segment into two equal, smaller parts
6. lines that have an undefined
slope

i think the correct option is the second option.

but there’s no any figure there!

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

the ordered pairs for the given function are of the form