Which is the definition of a line segment? a) a line segment consists of two points and all points in between. b) a line segment is a set of points that extend infinitely far in one direction. c) a line segment is a set of points that extend infinitely far in both directions. d) a line segment is the set of points in a plane that are equidistant from a given point.

A.A line segment consist of two points and all points in between .

Step-by-step explanation:

Definition of  a line segment : It is a portion of a line .It has two end points and all point contain between them.It is shortest distance between two points.

A.A line segment consist of two points and all points in between .

By definition of  a line is is true.

Hence, option A is true.

B.A line segment is a set of a points that extend infinitely far in one direction.

No, line segment can not be extend infinitely in any direction.

Therefore, option is false.

C.A line segment is a set of points that extend far in both directions.

No, by definition of line segment , it is false.

D.A line segments is the set of points in a plane that are equidistant from a given point.

By definition of line segment , it is false.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)